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Finding the Fourth Proportional to 658.87, 986.18 and 527.34

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Solution

The fourth proportional to 658.87, 986.18 and 527.34 is: 789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.87 : 986.18 = 527.34 : x
  2. Step 2: Convert to fraction form
    658.87/986.18 = 527.34/x
  3. Step 3: Cross multiply
    658.87x = 986.18 × 527.34
  4. Step 4: Simplify right side
    658.87x = 520,053.22
  5. Step 5: Solve for x
    x = 520,053.22/658.87
  6. Step 6: Final answer
    x = 789.31

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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.