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Finding the Fourth Proportional to 886.33, 1,224.83 and 664.90

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Solution

The fourth proportional to 886.33, 1,224.83 and 664.90 is: 918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.33 : 1,224.83 = 664.90 : x
  2. Step 2: Convert to fraction form
    886.33/1,224.83 = 664.90/x
  3. Step 3: Cross multiply
    886.33x = 1,224.83 × 664.90
  4. Step 4: Simplify right side
    886.33x = 814,386.73
  5. Step 5: Solve for x
    x = 814,386.73/886.33
  6. Step 6: Final answer
    x = 918.83

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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.