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Finding the Fourth Proportional to 658.84, 909.10 and 379.09

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Solution

The fourth proportional to 658.84, 909.10 and 379.09 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.84 : 909.10 = 379.09 : x
  2. Step 2: Convert to fraction form
    658.84/909.10 = 379.09/x
  3. Step 3: Cross multiply
    658.84x = 909.10 × 379.09
  4. Step 4: Simplify right side
    658.84x = 344,627.50
  5. Step 5: Solve for x
    x = 344,627.50/658.84
  6. Step 6: Final answer
    x = 523.08

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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.