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Finding the Fourth Proportional to 650.15, 974.34 and 418.91

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Solution

The fourth proportional to 650.15, 974.34 and 418.91 is: 627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.15 : 974.34 = 418.91 : x
  2. Step 2: Convert to fraction form
    650.15/974.34 = 418.91/x
  3. Step 3: Cross multiply
    650.15x = 974.34 × 418.91
  4. Step 4: Simplify right side
    650.15x = 408,160.77
  5. Step 5: Solve for x
    x = 408,160.77/650.15
  6. Step 6: Final answer
    x = 627.79

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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.