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Finding the Fourth Proportional to 742.18, 1,112.61 and 254.89

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Solution

The fourth proportional to 742.18, 1,112.61 and 254.89 is: 382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.18 : 1,112.61 = 254.89 : x
  2. Step 2: Convert to fraction form
    742.18/1,112.61 = 254.89/x
  3. Step 3: Cross multiply
    742.18x = 1,112.61 × 254.89
  4. Step 4: Simplify right side
    742.18x = 283,593.16
  5. Step 5: Solve for x
    x = 283,593.16/742.18
  6. Step 6: Final answer
    x = 382.11

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1.5x scale

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.