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Finding the Fourth Proportional to 721.62, 1,080.81 and 506.16

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Solution

The fourth proportional to 721.62, 1,080.81 and 506.16 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.62 : 1,080.81 = 506.16 : x
  2. Step 2: Convert to fraction form
    721.62/1,080.81 = 506.16/x
  3. Step 3: Cross multiply
    721.62x = 1,080.81 × 506.16
  4. Step 4: Simplify right side
    721.62x = 547,062.79
  5. Step 5: Solve for x
    x = 547,062.79/721.62
  6. Step 6: Final answer
    x = 758.10

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Double scale
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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.