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Finding the Fourth Proportional to 878.86, 1,317.17 and 768.90

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Solution

The fourth proportional to 878.86, 1,317.17 and 768.90 is: 1,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,317.17 = 768.90 : x
  2. Step 2: Convert to fraction form
    878.86/1,317.17 = 768.90/x
  3. Step 3: Cross multiply
    878.86x = 1,317.17 × 768.90
  4. Step 4: Simplify right side
    878.86x = 1,012,778.87
  5. Step 5: Solve for x
    x = 1,012,778.87/878.86
  6. Step 6: Final answer
    x = 1,152.38

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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.