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Finding the Fourth Proportional to 729.01, 1,005.95 and 409.97

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Solution

The fourth proportional to 729.01, 1,005.95 and 409.97 is: 565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.01 : 1,005.95 = 409.97 : x
  2. Step 2: Convert to fraction form
    729.01/1,005.95 = 409.97/x
  3. Step 3: Cross multiply
    729.01x = 1,005.95 × 409.97
  4. Step 4: Simplify right side
    729.01x = 412,409.32
  5. Step 5: Solve for x
    x = 412,409.32/729.01
  6. Step 6: Final answer
    x = 565.71

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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.