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Finding the Fourth Proportional to 1,539.97, 2,306.27 and 888.73

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Solution

The fourth proportional to 1,539.97, 2,306.27 and 888.73 is: 1,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.97 : 2,306.27 = 888.73 : x
  2. Step 2: Convert to fraction form
    1,539.97/2,306.27 = 888.73/x
  3. Step 3: Cross multiply
    1,539.97x = 2,306.27 × 888.73
  4. Step 4: Simplify right side
    1,539.97x = 2,049,647.79
  5. Step 5: Solve for x
    x = 2,049,647.79/1,539.97
  6. Step 6: Final answer
    x = 1,330.97

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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.