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Finding the Fourth Proportional to 728.59, 1,005.47 and 397.03

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Solution

The fourth proportional to 728.59, 1,005.47 and 397.03 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.59 : 1,005.47 = 397.03 : x
  2. Step 2: Convert to fraction form
    728.59/1,005.47 = 397.03/x
  3. Step 3: Cross multiply
    728.59x = 1,005.47 × 397.03
  4. Step 4: Simplify right side
    728.59x = 399,196.73
  5. Step 5: Solve for x
    x = 399,196.73/728.59
  6. Step 6: Final answer
    x = 547.91

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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.