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Finding the Fourth Proportional to 821.73, 1,231.01 and 647.48

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Solution

The fourth proportional to 821.73, 1,231.01 and 647.48 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.73 : 1,231.01 = 647.48 : x
  2. Step 2: Convert to fraction form
    821.73/1,231.01 = 647.48/x
  3. Step 3: Cross multiply
    821.73x = 1,231.01 × 647.48
  4. Step 4: Simplify right side
    821.73x = 797,044.96
  5. Step 5: Solve for x
    x = 797,044.96/821.73
  6. Step 6: Final answer
    x = 969.96

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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.