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Finding the Fourth Proportional to 742.17, 1,113.25 and 255.22

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Solution

The fourth proportional to 742.17, 1,113.25 and 255.22 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.17 : 1,113.25 = 255.22 : x
  2. Step 2: Convert to fraction form
    742.17/1,113.25 = 255.22/x
  3. Step 3: Cross multiply
    742.17x = 1,113.25 × 255.22
  4. Step 4: Simplify right side
    742.17x = 284,121.08
  5. Step 5: Solve for x
    x = 284,121.08/742.17
  6. Step 6: Final answer
    x = 382.83

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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.