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Finding the Fourth Proportional to 743.20, 1,025.02 and 462.90

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Solution

The fourth proportional to 743.20, 1,025.02 and 462.90 is: 638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,025.02 = 462.90 : x
  2. Step 2: Convert to fraction form
    743.20/1,025.02 = 462.90/x
  3. Step 3: Cross multiply
    743.20x = 1,025.02 × 462.90
  4. Step 4: Simplify right side
    743.20x = 474,481.76
  5. Step 5: Solve for x
    x = 474,481.76/743.20
  6. Step 6: Final answer
    x = 638.43

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Double scale
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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.