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Finding the Fourth Proportional to 729.13, 1,005.98 and 414.38

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Solution

The fourth proportional to 729.13, 1,005.98 and 414.38 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.13 : 1,005.98 = 414.38 : x
  2. Step 2: Convert to fraction form
    729.13/1,005.98 = 414.38/x
  3. Step 3: Cross multiply
    729.13x = 1,005.98 × 414.38
  4. Step 4: Simplify right side
    729.13x = 416,857.99
  5. Step 5: Solve for x
    x = 416,857.99/729.13
  6. Step 6: Final answer
    x = 571.72

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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.