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Finding the Fourth Proportional to 1,065.92, 1,597.31 and 517.47

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Solution

The fourth proportional to 1,065.92, 1,597.31 and 517.47 is: 775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.92 : 1,597.31 = 517.47 : x
  2. Step 2: Convert to fraction form
    1,065.92/1,597.31 = 517.47/x
  3. Step 3: Cross multiply
    1,065.92x = 1,597.31 × 517.47
  4. Step 4: Simplify right side
    1,065.92x = 826,557.42
  5. Step 5: Solve for x
    x = 826,557.42/1,065.92
  6. Step 6: Final answer
    x = 775.44

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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.