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Finding the Fourth Proportional to 742.24, 1,110.12 and 627.76

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Solution

The fourth proportional to 742.24, 1,110.12 and 627.76 is: 938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,110.12 = 627.76 : x
  2. Step 2: Convert to fraction form
    742.24/1,110.12 = 627.76/x
  3. Step 3: Cross multiply
    742.24x = 1,110.12 × 627.76
  4. Step 4: Simplify right side
    742.24x = 696,888.93
  5. Step 5: Solve for x
    x = 696,888.93/742.24
  6. Step 6: Final answer
    x = 938.90

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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.