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Finding the Fourth Proportional to 742.61, 1,113.95 and 255.66

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Solution

The fourth proportional to 742.61, 1,113.95 and 255.66 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.61 : 1,113.95 = 255.66 : x
  2. Step 2: Convert to fraction form
    742.61/1,113.95 = 255.66/x
  3. Step 3: Cross multiply
    742.61x = 1,113.95 × 255.66
  4. Step 4: Simplify right side
    742.61x = 284,791.18
  5. Step 5: Solve for x
    x = 284,791.18/742.61
  6. Step 6: Final answer
    x = 383.50

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Double scale
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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.