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Finding the Fourth Proportional to 649.80, 974.72 and 284.36

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Solution

The fourth proportional to 649.80, 974.72 and 284.36 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 974.72 = 284.36 : x
  2. Step 2: Convert to fraction form
    649.80/974.72 = 284.36/x
  3. Step 3: Cross multiply
    649.80x = 974.72 × 284.36
  4. Step 4: Simplify right side
    649.80x = 277,171.38
  5. Step 5: Solve for x
    x = 277,171.38/649.80
  6. Step 6: Final answer
    x = 426.55

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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.