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Finding the Fourth Proportional to 649.84, 974.76 and 217.04

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Solution

The fourth proportional to 649.84, 974.76 and 217.04 is: 325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.84 : 974.76 = 217.04 : x
  2. Step 2: Convert to fraction form
    649.84/974.76 = 217.04/x
  3. Step 3: Cross multiply
    649.84x = 974.76 × 217.04
  4. Step 4: Simplify right side
    649.84x = 211,561.91
  5. Step 5: Solve for x
    x = 211,561.91/649.84
  6. Step 6: Final answer
    x = 325.56

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.