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Finding the Fourth Proportional to 658.84, 908.94 and 379.02

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Solution

The fourth proportional to 658.84, 908.94 and 379.02 is: 522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.84 : 908.94 = 379.02 : x
  2. Step 2: Convert to fraction form
    658.84/908.94 = 379.02/x
  3. Step 3: Cross multiply
    658.84x = 908.94 × 379.02
  4. Step 4: Simplify right side
    658.84x = 344,506.44
  5. Step 5: Solve for x
    x = 344,506.44/658.84
  6. Step 6: Final answer
    x = 522.90

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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.