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Finding the Fourth Proportional to 2,305.69, 3,458.53 and 747

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Solution

The fourth proportional to 2,305.69, 3,458.53 and 747 is: 1,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.69 : 3,458.53 = 747 : x
  2. Step 2: Convert to fraction form
    2,305.69/3,458.53 = 747/x
  3. Step 3: Cross multiply
    2,305.69x = 3,458.53 × 747
  4. Step 4: Simplify right side
    2,305.69x = 2,583,522.84
  5. Step 5: Solve for x
    x = 2,583,522.84/2,305.69
  6. Step 6: Final answer
    x = 1,120.50

Related Problems

Find fourth proportional to 1,152.84, 1,729.27 and 373.50
Half scale
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Double scale
Find fourth proportional to 2,306.69, 3,460.03 and 748
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.