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Finding the Fourth Proportional to 864.55, 1,293.98 and 832.43

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Solution

The fourth proportional to 864.55, 1,293.98 and 832.43 is: 1,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.55 : 1,293.98 = 832.43 : x
  2. Step 2: Convert to fraction form
    864.55/1,293.98 = 832.43/x
  3. Step 3: Cross multiply
    864.55x = 1,293.98 × 832.43
  4. Step 4: Simplify right side
    864.55x = 1,077,139.57
  5. Step 5: Solve for x
    x = 1,077,139.57/864.55
  6. Step 6: Final answer
    x = 1,245.90

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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.