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Finding the Fourth Proportional to 658.32, 989.04 and 415.28

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Solution

The fourth proportional to 658.32, 989.04 and 415.28 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 989.04 = 415.28 : x
  2. Step 2: Convert to fraction form
    658.32/989.04 = 415.28/x
  3. Step 3: Cross multiply
    658.32x = 989.04 × 415.28
  4. Step 4: Simplify right side
    658.32x = 410,728.53
  5. Step 5: Solve for x
    x = 410,728.53/658.32
  6. Step 6: Final answer
    x = 623.90

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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.