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Finding the Fourth Proportional to 1,163.71, 1,748.85 and 878.59

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Solution

The fourth proportional to 1,163.71, 1,748.85 and 878.59 is: 1,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.71 : 1,748.85 = 878.59 : x
  2. Step 2: Convert to fraction form
    1,163.71/1,748.85 = 878.59/x
  3. Step 3: Cross multiply
    1,163.71x = 1,748.85 × 878.59
  4. Step 4: Simplify right side
    1,163.71x = 1,536,522.12
  5. Step 5: Solve for x
    x = 1,536,522.12/1,163.71
  6. Step 6: Final answer
    x = 1,320.37

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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.