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Finding the Fourth Proportional to 649.78, 974.76 and 216.82

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Solution

The fourth proportional to 649.78, 974.76 and 216.82 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.78 : 974.76 = 216.82 : x
  2. Step 2: Convert to fraction form
    649.78/974.76 = 216.82/x
  3. Step 3: Cross multiply
    649.78x = 974.76 × 216.82
  4. Step 4: Simplify right side
    649.78x = 211,347.46
  5. Step 5: Solve for x
    x = 211,347.46/649.78
  6. Step 6: Final answer
    x = 325.26

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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.