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Finding the Fourth Proportional to 650.41, 974.70 and 284.43

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Solution

The fourth proportional to 650.41, 974.70 and 284.43 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 974.70 = 284.43 : x
  2. Step 2: Convert to fraction form
    650.41/974.70 = 284.43/x
  3. Step 3: Cross multiply
    650.41x = 974.70 × 284.43
  4. Step 4: Simplify right side
    650.41x = 277,233.92
  5. Step 5: Solve for x
    x = 277,233.92/650.41
  6. Step 6: Final answer
    x = 426.24

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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.