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Finding the Fourth Proportional to 1,023.74, 1,531.32 and 863.31

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Solution

The fourth proportional to 1,023.74, 1,531.32 and 863.31 is: 1,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.74 : 1,531.32 = 863.31 : x
  2. Step 2: Convert to fraction form
    1,023.74/1,531.32 = 863.31/x
  3. Step 3: Cross multiply
    1,023.74x = 1,531.32 × 863.31
  4. Step 4: Simplify right side
    1,023.74x = 1,322,003.87
  5. Step 5: Solve for x
    x = 1,322,003.87/1,023.74
  6. Step 6: Final answer
    x = 1,291.35

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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.