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Finding the Fourth Proportional to 742.97, 1,114.70 and 280.78

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Solution

The fourth proportional to 742.97, 1,114.70 and 280.78 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.97 : 1,114.70 = 280.78 : x
  2. Step 2: Convert to fraction form
    742.97/1,114.70 = 280.78/x
  3. Step 3: Cross multiply
    742.97x = 1,114.70 × 280.78
  4. Step 4: Simplify right side
    742.97x = 312,987.55
  5. Step 5: Solve for x
    x = 312,987.55/742.97
  6. Step 6: Final answer
    x = 421.27

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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.