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Finding the Fourth Proportional to 886.04, 1,221.62 and 728.12

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Solution

The fourth proportional to 886.04, 1,221.62 and 728.12 is: 1,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.04 : 1,221.62 = 728.12 : x
  2. Step 2: Convert to fraction form
    886.04/1,221.62 = 728.12/x
  3. Step 3: Cross multiply
    886.04x = 1,221.62 × 728.12
  4. Step 4: Simplify right side
    886.04x = 889,485.95
  5. Step 5: Solve for x
    x = 889,485.95/886.04
  6. Step 6: Final answer
    x = 1,003.89

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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.