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Finding the Fourth Proportional to 658.31, 986.67 and 292.68

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Solution

The fourth proportional to 658.31, 986.67 and 292.68 is: 438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.31 : 986.67 = 292.68 : x
  2. Step 2: Convert to fraction form
    658.31/986.67 = 292.68/x
  3. Step 3: Cross multiply
    658.31x = 986.67 × 292.68
  4. Step 4: Simplify right side
    658.31x = 288,778.58
  5. Step 5: Solve for x
    x = 288,778.58/658.31
  6. Step 6: Final answer
    x = 438.67

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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.