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Finding the Fourth Proportional to 614.46, 921.87 and 263.19

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Solution

The fourth proportional to 614.46, 921.87 and 263.19 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.46 : 921.87 = 263.19 : x
  2. Step 2: Convert to fraction form
    614.46/921.87 = 263.19/x
  3. Step 3: Cross multiply
    614.46x = 921.87 × 263.19
  4. Step 4: Simplify right side
    614.46x = 242,626.97
  5. Step 5: Solve for x
    x = 242,626.97/614.46
  6. Step 6: Final answer
    x = 394.86

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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.