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Finding the Fourth Proportional to 658.67, 989.39 and 415.37

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Solution

The fourth proportional to 658.67, 989.39 and 415.37 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.67 : 989.39 = 415.37 : x
  2. Step 2: Convert to fraction form
    658.67/989.39 = 415.37/x
  3. Step 3: Cross multiply
    658.67x = 989.39 × 415.37
  4. Step 4: Simplify right side
    658.67x = 410,955.90
  5. Step 5: Solve for x
    x = 410,955.90/658.67
  6. Step 6: Final answer
    x = 623.92

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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.