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Finding the Fourth Proportional to 877.98, 1,213.92 and 864.12

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Solution

The fourth proportional to 877.98, 1,213.92 and 864.12 is: 1,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.98 : 1,213.92 = 864.12 : x
  2. Step 2: Convert to fraction form
    877.98/1,213.92 = 864.12/x
  3. Step 3: Cross multiply
    877.98x = 1,213.92 × 864.12
  4. Step 4: Simplify right side
    877.98x = 1,048,972.55
  5. Step 5: Solve for x
    x = 1,048,972.55/877.98
  6. Step 6: Final answer
    x = 1,194.76

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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.