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Finding the Fourth Proportional to 888.68, 1,333.14 and 834.68

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Solution

The fourth proportional to 888.68, 1,333.14 and 834.68 is: 1,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.68 : 1,333.14 = 834.68 : x
  2. Step 2: Convert to fraction form
    888.68/1,333.14 = 834.68/x
  3. Step 3: Cross multiply
    888.68x = 1,333.14 × 834.68
  4. Step 4: Simplify right side
    888.68x = 1,112,745.30
  5. Step 5: Solve for x
    x = 1,112,745.30/888.68
  6. Step 6: Final answer
    x = 1,252.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.