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Finding the Fourth Proportional to 821.47, 1,231.15 and 451.27

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Solution

The fourth proportional to 821.47, 1,231.15 and 451.27 is: 676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.47 : 1,231.15 = 451.27 : x
  2. Step 2: Convert to fraction form
    821.47/1,231.15 = 451.27/x
  3. Step 3: Cross multiply
    821.47x = 1,231.15 × 451.27
  4. Step 4: Simplify right side
    821.47x = 555,581.06
  5. Step 5: Solve for x
    x = 555,581.06/821.47
  6. Step 6: Final answer
    x = 676.33

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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.