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Finding the Fourth Proportional to 729.13, 1,005.09 and 518.68

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Solution

The fourth proportional to 729.13, 1,005.09 and 518.68 is: 714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.13 : 1,005.09 = 518.68 : x
  2. Step 2: Convert to fraction form
    729.13/1,005.09 = 518.68/x
  3. Step 3: Cross multiply
    729.13x = 1,005.09 × 518.68
  4. Step 4: Simplify right side
    729.13x = 521,320.08
  5. Step 5: Solve for x
    x = 521,320.08/729.13
  6. Step 6: Final answer
    x = 714.99

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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.