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Finding the Fourth Proportional to 658.69, 909.06 and 378.94

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Solution

The fourth proportional to 658.69, 909.06 and 378.94 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 909.06 = 378.94 : x
  2. Step 2: Convert to fraction form
    658.69/909.06 = 378.94/x
  3. Step 3: Cross multiply
    658.69x = 909.06 × 378.94
  4. Step 4: Simplify right side
    658.69x = 344,474.65
  5. Step 5: Solve for x
    x = 344,474.65/658.69
  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.