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Finding the Fourth Proportional to 878.50, 1,317.48 and 658.72

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Solution

The fourth proportional to 878.50, 1,317.48 and 658.72 is: 987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.50 : 1,317.48 = 658.72 : x
  2. Step 2: Convert to fraction form
    878.50/1,317.48 = 658.72/x
  3. Step 3: Cross multiply
    878.50x = 1,317.48 × 658.72
  4. Step 4: Simplify right side
    878.50x = 867,850.43
  5. Step 5: Solve for x
    x = 867,850.43/878.50
  6. Step 6: Final answer
    x = 987.88

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1.5x scale

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.