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Finding the Fourth Proportional to 878.10, 1,318.17 and 617.02

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Solution

The fourth proportional to 878.10, 1,318.17 and 617.02 is: 926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.10 : 1,318.17 = 617.02 : x
  2. Step 2: Convert to fraction form
    878.10/1,318.17 = 617.02/x
  3. Step 3: Cross multiply
    878.10x = 1,318.17 × 617.02
  4. Step 4: Simplify right side
    878.10x = 813,337.25
  5. Step 5: Solve for x
    x = 813,337.25/878.10
  6. Step 6: Final answer
    x = 926.25

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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.