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Finding the Fourth Proportional to 742.80, 1,110.96 and 433.92

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Solution

The fourth proportional to 742.80, 1,110.96 and 433.92 is: 648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.80 : 1,110.96 = 433.92 : x
  2. Step 2: Convert to fraction form
    742.80/1,110.96 = 433.92/x
  3. Step 3: Cross multiply
    742.80x = 1,110.96 × 433.92
  4. Step 4: Simplify right side
    742.80x = 482,067.76
  5. Step 5: Solve for x
    x = 482,067.76/742.80
  6. Step 6: Final answer
    x = 648.99

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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.