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Finding the Fourth Proportional to 888.90, 1,229.49 and 785.40

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Solution

The fourth proportional to 888.90, 1,229.49 and 785.40 is: 1,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.90 : 1,229.49 = 785.40 : x
  2. Step 2: Convert to fraction form
    888.90/1,229.49 = 785.40/x
  3. Step 3: Cross multiply
    888.90x = 1,229.49 × 785.40
  4. Step 4: Simplify right side
    888.90x = 965,641.45
  5. Step 5: Solve for x
    x = 965,641.45/888.90
  6. Step 6: Final answer
    x = 1,086.33

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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.