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Finding the Fourth Proportional to 888.42, 1,223.36 and 869.24

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Solution

The fourth proportional to 888.42, 1,223.36 and 869.24 is: 1,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.42 : 1,223.36 = 869.24 : x
  2. Step 2: Convert to fraction form
    888.42/1,223.36 = 869.24/x
  3. Step 3: Cross multiply
    888.42x = 1,223.36 × 869.24
  4. Step 4: Simplify right side
    888.42x = 1,063,393.45
  5. Step 5: Solve for x
    x = 1,063,393.45/888.42
  6. Step 6: Final answer
    x = 1,196.95

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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.