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Finding the Fourth Proportional to 765.82, 1,149.04 and 278.91

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Solution

The fourth proportional to 765.82, 1,149.04 and 278.91 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.82 : 1,149.04 = 278.91 : x
  2. Step 2: Convert to fraction form
    765.82/1,149.04 = 278.91/x
  3. Step 3: Cross multiply
    765.82x = 1,149.04 × 278.91
  4. Step 4: Simplify right side
    765.82x = 320,477.53
  5. Step 5: Solve for x
    x = 320,477.53/765.82
  6. Step 6: Final answer
    x = 418.48

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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.