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Finding the Fourth Proportional to 886.80, 1,224 and 638.64

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Solution

The fourth proportional to 886.80, 1,224 and 638.64 is: 881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.80 : 1,224 = 638.64 : x
  2. Step 2: Convert to fraction form
    886.80/1,224 = 638.64/x
  3. Step 3: Cross multiply
    886.80x = 1,224 × 638.64
  4. Step 4: Simplify right side
    886.80x = 781,695.36
  5. Step 5: Solve for x
    x = 781,695.36/886.80
  6. Step 6: Final answer
    x = 881.48

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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.