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Finding the Fourth Proportional to 658.52, 988.83 and 427.97

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Solution

The fourth proportional to 658.52, 988.83 and 427.97 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.52 : 988.83 = 427.97 : x
  2. Step 2: Convert to fraction form
    658.52/988.83 = 427.97/x
  3. Step 3: Cross multiply
    658.52x = 988.83 × 427.97
  4. Step 4: Simplify right side
    658.52x = 423,184.63
  5. Step 5: Solve for x
    x = 423,184.63/658.52
  6. Step 6: Final answer
    x = 642.63

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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.