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Finding the Fourth Proportional to 658.27, 986.79 and 522.19

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Solution

The fourth proportional to 658.27, 986.79 and 522.19 is: 782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.27 : 986.79 = 522.19 : x
  2. Step 2: Convert to fraction form
    658.27/986.79 = 522.19/x
  3. Step 3: Cross multiply
    658.27x = 986.79 × 522.19
  4. Step 4: Simplify right side
    658.27x = 515,291.87
  5. Step 5: Solve for x
    x = 515,291.87/658.27
  6. Step 6: Final answer
    x = 782.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.