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Finding the Fourth Proportional to 878.79, 1,318.23 and 416.28

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Solution

The fourth proportional to 878.79, 1,318.23 and 416.28 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.79 : 1,318.23 = 416.28 : x
  2. Step 2: Convert to fraction form
    878.79/1,318.23 = 416.28/x
  3. Step 3: Cross multiply
    878.79x = 1,318.23 × 416.28
  4. Step 4: Simplify right side
    878.79x = 548,752.78
  5. Step 5: Solve for x
    x = 548,752.78/878.79
  6. Step 6: Final answer
    x = 624.44

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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.