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Finding the Fourth Proportional to 729.65, 1,007.10 and 530.57

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Solution

The fourth proportional to 729.65, 1,007.10 and 530.57 is: 732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.65 : 1,007.10 = 530.57 : x
  2. Step 2: Convert to fraction form
    729.65/1,007.10 = 530.57/x
  3. Step 3: Cross multiply
    729.65x = 1,007.10 × 530.57
  4. Step 4: Simplify right side
    729.65x = 534,332.01
  5. Step 5: Solve for x
    x = 534,332.01/729.65
  6. Step 6: Final answer
    x = 732.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.