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Finding the Fourth Proportional to 1,227.76, 1,842.00 and 708.13

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Solution

The fourth proportional to 1,227.76, 1,842.00 and 708.13 is: 1,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.76 : 1,842.00 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,227.76/1,842.00 = 708.13/x
  3. Step 3: Cross multiply
    1,227.76x = 1,842.00 × 708.13
  4. Step 4: Simplify right side
    1,227.76x = 1,304,374.31
  5. Step 5: Solve for x
    x = 1,304,374.31/1,227.76
  6. Step 6: Final answer
    x = 1,062.40

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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.