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Finding the Fourth Proportional to 827.31, 1,142.25 and 631.83

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Solution

The fourth proportional to 827.31, 1,142.25 and 631.83 is: 872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.31 : 1,142.25 = 631.83 : x
  2. Step 2: Convert to fraction form
    827.31/1,142.25 = 631.83/x
  3. Step 3: Cross multiply
    827.31x = 1,142.25 × 631.83
  4. Step 4: Simplify right side
    827.31x = 721,707.82
  5. Step 5: Solve for x
    x = 721,707.82/827.31
  6. Step 6: Final answer
    x = 872.35

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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.