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Finding the Fourth Proportional to 821.39, 1,231.05 and 718.43

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Solution

The fourth proportional to 821.39, 1,231.05 and 718.43 is: 1,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.39 : 1,231.05 = 718.43 : x
  2. Step 2: Convert to fraction form
    821.39/1,231.05 = 718.43/x
  3. Step 3: Cross multiply
    821.39x = 1,231.05 × 718.43
  4. Step 4: Simplify right side
    821.39x = 884,423.25
  5. Step 5: Solve for x
    x = 884,423.25/821.39
  6. Step 6: Final answer
    x = 1,076.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.