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Finding the Fourth Proportional to 649.33, 974.15 and 284.22

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Solution

The fourth proportional to 649.33, 974.15 and 284.22 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 974.15 = 284.22 : x
  2. Step 2: Convert to fraction form
    649.33/974.15 = 284.22/x
  3. Step 3: Cross multiply
    649.33x = 974.15 × 284.22
  4. Step 4: Simplify right side
    649.33x = 276,873.62
  5. Step 5: Solve for x
    x = 276,873.62/649.33
  6. Step 6: Final answer
    x = 426.40

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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.