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Finding the Fourth Proportional to 765.92, 1,148.87 and 279.00

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Solution

The fourth proportional to 765.92, 1,148.87 and 279.00 is: 418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.92 : 1,148.87 = 279.00 : x
  2. Step 2: Convert to fraction form
    765.92/1,148.87 = 279.00/x
  3. Step 3: Cross multiply
    765.92x = 1,148.87 × 279.00
  4. Step 4: Simplify right side
    765.92x = 320,538.30
  5. Step 5: Solve for x
    x = 320,538.30/765.92
  6. Step 6: Final answer
    x = 418.50

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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.