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Finding the Fourth Proportional to 733.20, 1,095.90 and 517.20

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Solution

The fourth proportional to 733.20, 1,095.90 and 517.20 is: 773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,095.90 = 517.20 : x
  2. Step 2: Convert to fraction form
    733.20/1,095.90 = 517.20/x
  3. Step 3: Cross multiply
    733.20x = 1,095.90 × 517.20
  4. Step 4: Simplify right side
    733.20x = 566,799.48
  5. Step 5: Solve for x
    x = 566,799.48/733.20
  6. Step 6: Final answer
    x = 773.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.