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Finding the Fourth Proportional to 1,026.18, 1,532.49 and 878.37

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Solution

The fourth proportional to 1,026.18, 1,532.49 and 878.37 is: 1,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.18 : 1,532.49 = 878.37 : x
  2. Step 2: Convert to fraction form
    1,026.18/1,532.49 = 878.37/x
  3. Step 3: Cross multiply
    1,026.18x = 1,532.49 × 878.37
  4. Step 4: Simplify right side
    1,026.18x = 1,346,093.24
  5. Step 5: Solve for x
    x = 1,346,093.24/1,026.18
  6. Step 6: Final answer
    x = 1,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.