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Finding the Fourth Proportional to 742.92, 1,025.11 and 444.27

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Solution

The fourth proportional to 742.92, 1,025.11 and 444.27 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,025.11 = 444.27 : x
  2. Step 2: Convert to fraction form
    742.92/1,025.11 = 444.27/x
  3. Step 3: Cross multiply
    742.92x = 1,025.11 × 444.27
  4. Step 4: Simplify right side
    742.92x = 455,425.62
  5. Step 5: Solve for x
    x = 455,425.62/742.92
  6. Step 6: Final answer
    x = 613.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.