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Finding the Fourth Proportional to 614.35, 847.45 and 378.41

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Solution

The fourth proportional to 614.35, 847.45 and 378.41 is: 521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.35 : 847.45 = 378.41 : x
  2. Step 2: Convert to fraction form
    614.35/847.45 = 378.41/x
  3. Step 3: Cross multiply
    614.35x = 847.45 × 378.41
  4. Step 4: Simplify right side
    614.35x = 320,684.73
  5. Step 5: Solve for x
    x = 320,684.73/614.35
  6. Step 6: Final answer
    x = 521.99

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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.