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Finding the Fourth Proportional to 878.03, 1,318.07 and 616.96

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Solution

The fourth proportional to 878.03, 1,318.07 and 616.96 is: 926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.03 : 1,318.07 = 616.96 : x
  2. Step 2: Convert to fraction form
    878.03/1,318.07 = 616.96/x
  3. Step 3: Cross multiply
    878.03x = 1,318.07 × 616.96
  4. Step 4: Simplify right side
    878.03x = 813,195.95
  5. Step 5: Solve for x
    x = 813,195.95/878.03
  6. Step 6: Final answer
    x = 926.16

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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.