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Finding the Fourth Proportional to 649.42, 974.02 and 216.58

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Solution

The fourth proportional to 649.42, 974.02 and 216.58 is: 324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 974.02 = 216.58 : x
  2. Step 2: Convert to fraction form
    649.42/974.02 = 216.58/x
  3. Step 3: Cross multiply
    649.42x = 974.02 × 216.58
  4. Step 4: Simplify right side
    649.42x = 210,953.25
  5. Step 5: Solve for x
    x = 210,953.25/649.42
  6. Step 6: Final answer
    x = 324.83

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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.