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Finding the Fourth Proportional to 742.46, 1,113.27 and 248.70

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Solution

The fourth proportional to 742.46, 1,113.27 and 248.70 is: 372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.46 : 1,113.27 = 248.70 : x
  2. Step 2: Convert to fraction form
    742.46/1,113.27 = 248.70/x
  3. Step 3: Cross multiply
    742.46x = 1,113.27 × 248.70
  4. Step 4: Simplify right side
    742.46x = 276,870.25
  5. Step 5: Solve for x
    x = 276,870.25/742.46
  6. Step 6: Final answer
    x = 372.91

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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.