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Finding the Fourth Proportional to 649.71, 974.54 and 216.87

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Solution

The fourth proportional to 649.71, 974.54 and 216.87 is: 325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.71 : 974.54 = 216.87 : x
  2. Step 2: Convert to fraction form
    649.71/974.54 = 216.87/x
  3. Step 3: Cross multiply
    649.71x = 974.54 × 216.87
  4. Step 4: Simplify right side
    649.71x = 211,349.03
  5. Step 5: Solve for x
    x = 211,349.03/649.71
  6. Step 6: Final answer
    x = 325.30

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.