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Finding the Fourth Proportional to 828.52, 1,142.57 and 631.69

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Solution

The fourth proportional to 828.52, 1,142.57 and 631.69 is: 871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,142.57 = 631.69 : x
  2. Step 2: Convert to fraction form
    828.52/1,142.57 = 631.69/x
  3. Step 3: Cross multiply
    828.52x = 1,142.57 × 631.69
  4. Step 4: Simplify right side
    828.52x = 721,750.04
  5. Step 5: Solve for x
    x = 721,750.04/828.52
  6. Step 6: Final answer
    x = 871.13

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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.