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Finding the Fourth Proportional to 886.48, 1,221.96 and 798.16

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Solution

The fourth proportional to 886.48, 1,221.96 and 798.16 is: 1,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,221.96 = 798.16 : x
  2. Step 2: Convert to fraction form
    886.48/1,221.96 = 798.16/x
  3. Step 3: Cross multiply
    886.48x = 1,221.96 × 798.16
  4. Step 4: Simplify right side
    886.48x = 975,319.59
  5. Step 5: Solve for x
    x = 975,319.59/886.48
  6. Step 6: Final answer
    x = 1,100.22

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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.