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Finding the Fourth Proportional to 728.08, 1,092.24 and 317.20

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Solution

The fourth proportional to 728.08, 1,092.24 and 317.20 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.08 : 1,092.24 = 317.20 : x
  2. Step 2: Convert to fraction form
    728.08/1,092.24 = 317.20/x
  3. Step 3: Cross multiply
    728.08x = 1,092.24 × 317.20
  4. Step 4: Simplify right side
    728.08x = 346,458.53
  5. Step 5: Solve for x
    x = 346,458.53/728.08
  6. Step 6: Final answer
    x = 475.85

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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.