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Finding the Fourth Proportional to 885.31, 1,221.83 and 531.43

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Solution

The fourth proportional to 885.31, 1,221.83 and 531.43 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.31 : 1,221.83 = 531.43 : x
  2. Step 2: Convert to fraction form
    885.31/1,221.83 = 531.43/x
  3. Step 3: Cross multiply
    885.31x = 1,221.83 × 531.43
  4. Step 4: Simplify right side
    885.31x = 649,317.12
  5. Step 5: Solve for x
    x = 649,317.12/885.31
  6. Step 6: Final answer
    x = 733.43

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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.