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Finding the Fourth Proportional to 765.95, 1,149.38 and 279.03

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Solution

The fourth proportional to 765.95, 1,149.38 and 279.03 is: 418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.95 : 1,149.38 = 279.03 : x
  2. Step 2: Convert to fraction form
    765.95/1,149.38 = 279.03/x
  3. Step 3: Cross multiply
    765.95x = 1,149.38 × 279.03
  4. Step 4: Simplify right side
    765.95x = 320,710.11
  5. Step 5: Solve for x
    x = 320,710.11/765.95
  6. Step 6: Final answer
    x = 418.71

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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.