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Finding the Fourth Proportional to 862.56, 1,300.32 and 793.44

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Solution

The fourth proportional to 862.56, 1,300.32 and 793.44 is: 1,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.56 : 1,300.32 = 793.44 : x
  2. Step 2: Convert to fraction form
    862.56/1,300.32 = 793.44/x
  3. Step 3: Cross multiply
    862.56x = 1,300.32 × 793.44
  4. Step 4: Simplify right side
    862.56x = 1,031,725.90
  5. Step 5: Solve for x
    x = 1,031,725.90/862.56
  6. Step 6: Final answer
    x = 1,196.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.