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Finding the Fourth Proportional to 1,223.89, 1,686.76 and 891.79

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Solution

The fourth proportional to 1,223.89, 1,686.76 and 891.79 is: 1,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.89 : 1,686.76 = 891.79 : x
  2. Step 2: Convert to fraction form
    1,223.89/1,686.76 = 891.79/x
  3. Step 3: Cross multiply
    1,223.89x = 1,686.76 × 891.79
  4. Step 4: Simplify right side
    1,223.89x = 1,504,235.70
  5. Step 5: Solve for x
    x = 1,504,235.70/1,223.89
  6. Step 6: Final answer
    x = 1,229.06

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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.