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Finding the Fourth Proportional to 649.88, 974.22 and 324.96

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Solution

The fourth proportional to 649.88, 974.22 and 324.96 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 974.22 = 324.96 : x
  2. Step 2: Convert to fraction form
    649.88/974.22 = 324.96/x
  3. Step 3: Cross multiply
    649.88x = 974.22 × 324.96
  4. Step 4: Simplify right side
    649.88x = 316,582.53
  5. Step 5: Solve for x
    x = 316,582.53/649.88
  6. Step 6: Final answer
    x = 487.14

Related Problems

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Half scale
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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.