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Finding the Fourth Proportional to 1,223.83, 1,686.99 and 891.73

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Solution

The fourth proportional to 1,223.83, 1,686.99 and 891.73 is: 1,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.83 : 1,686.99 = 891.73 : x
  2. Step 2: Convert to fraction form
    1,223.83/1,686.99 = 891.73/x
  3. Step 3: Cross multiply
    1,223.83x = 1,686.99 × 891.73
  4. Step 4: Simplify right side
    1,223.83x = 1,504,339.59
  5. Step 5: Solve for x
    x = 1,504,339.59/1,223.83
  6. Step 6: Final answer
    x = 1,229.21

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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.