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Finding the Fourth Proportional to 1,031.08, 1,419.26 and 863.44

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Solution

The fourth proportional to 1,031.08, 1,419.26 and 863.44 is: 1,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.08 : 1,419.26 = 863.44 : x
  2. Step 2: Convert to fraction form
    1,031.08/1,419.26 = 863.44/x
  3. Step 3: Cross multiply
    1,031.08x = 1,419.26 × 863.44
  4. Step 4: Simplify right side
    1,031.08x = 1,225,445.85
  5. Step 5: Solve for x
    x = 1,225,445.85/1,031.08
  6. Step 6: Final answer
    x = 1,188.51

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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.