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Finding the Fourth Proportional to 658.67, 987.32 and 380.67

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Solution

The fourth proportional to 658.67, 987.32 and 380.67 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.67 : 987.32 = 380.67 : x
  2. Step 2: Convert to fraction form
    658.67/987.32 = 380.67/x
  3. Step 3: Cross multiply
    658.67x = 987.32 × 380.67
  4. Step 4: Simplify right side
    658.67x = 375,840.35
  5. Step 5: Solve for x
    x = 375,840.35/658.67
  6. Step 6: Final answer
    x = 570.61

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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.