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Finding the Fourth Proportional to 1,010.58, 1,508.32 and 878.23

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Solution

The fourth proportional to 1,010.58, 1,508.32 and 878.23 is: 1,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.58 : 1,508.32 = 878.23 : x
  2. Step 2: Convert to fraction form
    1,010.58/1,508.32 = 878.23/x
  3. Step 3: Cross multiply
    1,010.58x = 1,508.32 × 878.23
  4. Step 4: Simplify right side
    1,010.58x = 1,324,651.87
  5. Step 5: Solve for x
    x = 1,324,651.87/1,010.58
  6. Step 6: Final answer
    x = 1,310.78

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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.