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Finding the Fourth Proportional to 1,178.70, 1,625.34 and 878.59

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Solution

The fourth proportional to 1,178.70, 1,625.34 and 878.59 is: 1,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.70 : 1,625.34 = 878.59 : x
  2. Step 2: Convert to fraction form
    1,178.70/1,625.34 = 878.59/x
  3. Step 3: Cross multiply
    1,178.70x = 1,625.34 × 878.59
  4. Step 4: Simplify right side
    1,178.70x = 1,428,007.47
  5. Step 5: Solve for x
    x = 1,428,007.47/1,178.70
  6. Step 6: Final answer
    x = 1,211.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.