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Finding the Fourth Proportional to 658.82, 909.11 and 378.99

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Solution

The fourth proportional to 658.82, 909.11 and 378.99 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.82 : 909.11 = 378.99 : x
  2. Step 2: Convert to fraction form
    658.82/909.11 = 378.99/x
  3. Step 3: Cross multiply
    658.82x = 909.11 × 378.99
  4. Step 4: Simplify right side
    658.82x = 344,544.55
  5. Step 5: Solve for x
    x = 344,544.55/658.82
  6. Step 6: Final answer
    x = 522.97

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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.