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Finding the Fourth Proportional to 2,305.44, 3,457.11 and 844.59

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Solution

The fourth proportional to 2,305.44, 3,457.11 and 844.59 is: 1,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.44 : 3,457.11 = 844.59 : x
  2. Step 2: Convert to fraction form
    2,305.44/3,457.11 = 844.59/x
  3. Step 3: Cross multiply
    2,305.44x = 3,457.11 × 844.59
  4. Step 4: Simplify right side
    2,305.44x = 2,919,840.53
  5. Step 5: Solve for x
    x = 2,919,840.53/2,305.44
  6. Step 6: Final answer
    x = 1,266.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,306.44, 3,458.61 and 845.59
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.