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Finding the Fourth Proportional to 765.82, 1,147.95 and 492.10

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Solution

The fourth proportional to 765.82, 1,147.95 and 492.10 is: 737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.82 : 1,147.95 = 492.10 : x
  2. Step 2: Convert to fraction form
    765.82/1,147.95 = 492.10/x
  3. Step 3: Cross multiply
    765.82x = 1,147.95 × 492.10
  4. Step 4: Simplify right side
    765.82x = 564,906.20
  5. Step 5: Solve for x
    x = 564,906.20/765.82
  6. Step 6: Final answer
    x = 737.65

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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.