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Finding the Fourth Proportional to 649.43, 974.12 and 162.47

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Solution

The fourth proportional to 649.43, 974.12 and 162.47 is: 243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 974.12 = 162.47 : x
  2. Step 2: Convert to fraction form
    649.43/974.12 = 162.47/x
  3. Step 3: Cross multiply
    649.43x = 974.12 × 162.47
  4. Step 4: Simplify right side
    649.43x = 158,265.28
  5. Step 5: Solve for x
    x = 158,265.28/649.43
  6. Step 6: Final answer
    x = 243.70

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Double scale
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Similar ratio
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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.