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Finding the Fourth Proportional to 892.13, 1,231.34 and 543.02

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Solution

The fourth proportional to 892.13, 1,231.34 and 543.02 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.13 : 1,231.34 = 543.02 : x
  2. Step 2: Convert to fraction form
    892.13/1,231.34 = 543.02/x
  3. Step 3: Cross multiply
    892.13x = 1,231.34 × 543.02
  4. Step 4: Simplify right side
    892.13x = 668,633.38
  5. Step 5: Solve for x
    x = 668,633.38/892.13
  6. Step 6: Final answer
    x = 749.48

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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.