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Finding the Fourth Proportional to 878.94, 1,211.85 and 616.50

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Solution

The fourth proportional to 878.94, 1,211.85 and 616.50 is: 850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.94 : 1,211.85 = 616.50 : x
  2. Step 2: Convert to fraction form
    878.94/1,211.85 = 616.50/x
  3. Step 3: Cross multiply
    878.94x = 1,211.85 × 616.50
  4. Step 4: Simplify right side
    878.94x = 747,105.53
  5. Step 5: Solve for x
    x = 747,105.53/878.94
  6. Step 6: Final answer
    x = 850.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.