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Finding the Fourth Proportional to 728.12, 1,092.56 and 317.24

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Solution

The fourth proportional to 728.12, 1,092.56 and 317.24 is: 476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.12 : 1,092.56 = 317.24 : x
  2. Step 2: Convert to fraction form
    728.12/1,092.56 = 317.24/x
  3. Step 3: Cross multiply
    728.12x = 1,092.56 × 317.24
  4. Step 4: Simplify right side
    728.12x = 346,603.73
  5. Step 5: Solve for x
    x = 346,603.73/728.12
  6. Step 6: Final answer
    x = 476.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.