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Finding the Fourth Proportional to 729.78, 1,005.48 and 519.54

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Solution

The fourth proportional to 729.78, 1,005.48 and 519.54 is: 715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.78 : 1,005.48 = 519.54 : x
  2. Step 2: Convert to fraction form
    729.78/1,005.48 = 519.54/x
  3. Step 3: Cross multiply
    729.78x = 1,005.48 × 519.54
  4. Step 4: Simplify right side
    729.78x = 522,387.08
  5. Step 5: Solve for x
    x = 522,387.08/729.78
  6. Step 6: Final answer
    x = 715.81

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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.