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Finding the Fourth Proportional to 892.50, 1,231.70 and 543.21

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Solution

The fourth proportional to 892.50, 1,231.70 and 543.21 is: 749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.50 : 1,231.70 = 543.21 : x
  2. Step 2: Convert to fraction form
    892.50/1,231.70 = 543.21/x
  3. Step 3: Cross multiply
    892.50x = 1,231.70 × 543.21
  4. Step 4: Simplify right side
    892.50x = 669,069.04
  5. Step 5: Solve for x
    x = 669,069.04/892.50
  6. Step 6: Final answer
    x = 749.66

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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.