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Finding the Fourth Proportional to 742.68, 1,114.62 and 560.52

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Solution

The fourth proportional to 742.68, 1,114.62 and 560.52 is: 841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.68 : 1,114.62 = 560.52 : x
  2. Step 2: Convert to fraction form
    742.68/1,114.62 = 560.52/x
  3. Step 3: Cross multiply
    742.68x = 1,114.62 × 560.52
  4. Step 4: Simplify right side
    742.68x = 624,766.80
  5. Step 5: Solve for x
    x = 624,766.80/742.68
  6. Step 6: Final answer
    x = 841.23

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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.