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Finding the Fourth Proportional to 765.59, 1,146.49 and 649.35

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Solution

The fourth proportional to 765.59, 1,146.49 and 649.35 is: 972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.59 : 1,146.49 = 649.35 : x
  2. Step 2: Convert to fraction form
    765.59/1,146.49 = 649.35/x
  3. Step 3: Cross multiply
    765.59x = 1,146.49 × 649.35
  4. Step 4: Simplify right side
    765.59x = 744,471.66
  5. Step 5: Solve for x
    x = 744,471.66/765.59
  6. Step 6: Final answer
    x = 972.42

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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.