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Finding the Fourth Proportional to 658.34, 986.85 and 427.38

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Solution

The fourth proportional to 658.34, 986.85 and 427.38 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.34 : 986.85 = 427.38 : x
  2. Step 2: Convert to fraction form
    658.34/986.85 = 427.38/x
  3. Step 3: Cross multiply
    658.34x = 986.85 × 427.38
  4. Step 4: Simplify right side
    658.34x = 421,759.95
  5. Step 5: Solve for x
    x = 421,759.95/658.34
  6. Step 6: Final answer
    x = 640.64

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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.