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Finding the Fourth Proportional to 650.92, 898.71 and 474.20

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Solution

The fourth proportional to 650.92, 898.71 and 474.20 is: 654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.92 : 898.71 = 474.20 : x
  2. Step 2: Convert to fraction form
    650.92/898.71 = 474.20/x
  3. Step 3: Cross multiply
    650.92x = 898.71 × 474.20
  4. Step 4: Simplify right side
    650.92x = 426,170.53
  5. Step 5: Solve for x
    x = 426,170.53/650.92
  6. Step 6: Final answer
    x = 654.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.