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Finding the Fourth Proportional to 878.88, 1,318.38 and 513.72

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Solution

The fourth proportional to 878.88, 1,318.38 and 513.72 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.88 : 1,318.38 = 513.72 : x
  2. Step 2: Convert to fraction form
    878.88/1,318.38 = 513.72/x
  3. Step 3: Cross multiply
    878.88x = 1,318.38 × 513.72
  4. Step 4: Simplify right side
    878.88x = 677,278.17
  5. Step 5: Solve for x
    x = 677,278.17/878.88
  6. Step 6: Final answer
    x = 770.62

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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.