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Finding the Fourth Proportional to 614.92, 923.20 and 371.92

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Solution

The fourth proportional to 614.92, 923.20 and 371.92 is: 558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.92 : 923.20 = 371.92 : x
  2. Step 2: Convert to fraction form
    614.92/923.20 = 371.92/x
  3. Step 3: Cross multiply
    614.92x = 923.20 × 371.92
  4. Step 4: Simplify right side
    614.92x = 343,356.54
  5. Step 5: Solve for x
    x = 343,356.54/614.92
  6. Step 6: Final answer
    x = 558.38

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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.