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Finding the Fourth Proportional to 888.12, 1,225.79 and 814.34

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Solution

The fourth proportional to 888.12, 1,225.79 and 814.34 is: 1,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.12 : 1,225.79 = 814.34 : x
  2. Step 2: Convert to fraction form
    888.12/1,225.79 = 814.34/x
  3. Step 3: Cross multiply
    888.12x = 1,225.79 × 814.34
  4. Step 4: Simplify right side
    888.12x = 998,199.63
  5. Step 5: Solve for x
    x = 998,199.63/888.12
  6. Step 6: Final answer
    x = 1,123.95

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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.