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Finding the Fourth Proportional to 658.70, 987.49 and 384.48

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Solution

The fourth proportional to 658.70, 987.49 and 384.48 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.70 : 987.49 = 384.48 : x
  2. Step 2: Convert to fraction form
    658.70/987.49 = 384.48/x
  3. Step 3: Cross multiply
    658.70x = 987.49 × 384.48
  4. Step 4: Simplify right side
    658.70x = 379,670.64
  5. Step 5: Solve for x
    x = 379,670.64/658.70
  6. Step 6: Final answer
    x = 576.39

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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.