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Finding the Fourth Proportional to 614.46, 847.65 and 418.23

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Solution

The fourth proportional to 614.46, 847.65 and 418.23 is: 576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.46 : 847.65 = 418.23 : x
  2. Step 2: Convert to fraction form
    614.46/847.65 = 418.23/x
  3. Step 3: Cross multiply
    614.46x = 847.65 × 418.23
  4. Step 4: Simplify right side
    614.46x = 354,512.66
  5. Step 5: Solve for x
    x = 354,512.66/614.46
  6. Step 6: Final answer
    x = 576.95

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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.