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Finding the Fourth Proportional to 729.14, 1,005.81 and 507.71

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Solution

The fourth proportional to 729.14, 1,005.81 and 507.71 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,005.81 = 507.71 : x
  2. Step 2: Convert to fraction form
    729.14/1,005.81 = 507.71/x
  3. Step 3: Cross multiply
    729.14x = 1,005.81 × 507.71
  4. Step 4: Simplify right side
    729.14x = 510,654.77
  5. Step 5: Solve for x
    x = 510,654.77/729.14
  6. Step 6: Final answer
    x = 700.36

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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.