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Finding the Fourth Proportional to 614.86, 922.20 and 306.61

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Solution

The fourth proportional to 614.86, 922.20 and 306.61 is: 459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 922.20 = 306.61 : x
  2. Step 2: Convert to fraction form
    614.86/922.20 = 306.61/x
  3. Step 3: Cross multiply
    614.86x = 922.20 × 306.61
  4. Step 4: Simplify right side
    614.86x = 282,755.74
  5. Step 5: Solve for x
    x = 282,755.74/614.86
  6. Step 6: Final answer
    x = 459.87

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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.