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Finding the Fourth Proportional to 1,741.44, 2,612.19 and 816.49

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Solution

The fourth proportional to 1,741.44, 2,612.19 and 816.49 is: 1,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.44 : 2,612.19 = 816.49 : x
  2. Step 2: Convert to fraction form
    1,741.44/2,612.19 = 816.49/x
  3. Step 3: Cross multiply
    1,741.44x = 2,612.19 × 816.49
  4. Step 4: Simplify right side
    1,741.44x = 2,132,827.01
  5. Step 5: Solve for x
    x = 2,132,827.01/1,741.44
  6. Step 6: Final answer
    x = 1,224.75

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Half scale
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Double scale
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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.