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Finding the Fourth Proportional to 742.75, 1,114.12 and 280.74

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Solution

The fourth proportional to 742.75, 1,114.12 and 280.74 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.75 : 1,114.12 = 280.74 : x
  2. Step 2: Convert to fraction form
    742.75/1,114.12 = 280.74/x
  3. Step 3: Cross multiply
    742.75x = 1,114.12 × 280.74
  4. Step 4: Simplify right side
    742.75x = 312,778.05
  5. Step 5: Solve for x
    x = 312,778.05/742.75
  6. Step 6: Final answer
    x = 421.11

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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.