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Finding the Fourth Proportional to 765.78, 1,148.87 and 492

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Solution

The fourth proportional to 765.78, 1,148.87 and 492 is: 738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.78 : 1,148.87 = 492 : x
  2. Step 2: Convert to fraction form
    765.78/1,148.87 = 492/x
  3. Step 3: Cross multiply
    765.78x = 1,148.87 × 492
  4. Step 4: Simplify right side
    765.78x = 565,244.04
  5. Step 5: Solve for x
    x = 565,244.04/765.78
  6. Step 6: Final answer
    x = 738.13

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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.