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Finding the Fourth Proportional to 614.20, 922.52 and 371.20

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Solution

The fourth proportional to 614.20, 922.52 and 371.20 is: 557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 922.52 = 371.20 : x
  2. Step 2: Convert to fraction form
    614.20/922.52 = 371.20/x
  3. Step 3: Cross multiply
    614.20x = 922.52 × 371.20
  4. Step 4: Simplify right side
    614.20x = 342,439.42
  5. Step 5: Solve for x
    x = 342,439.42/614.20
  6. Step 6: Final answer
    x = 557.54

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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.