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Finding the Fourth Proportional to 1,248.09, 1,869.74 and 698.61

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Solution

The fourth proportional to 1,248.09, 1,869.74 and 698.61 is: 1,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.09 : 1,869.74 = 698.61 : x
  2. Step 2: Convert to fraction form
    1,248.09/1,869.74 = 698.61/x
  3. Step 3: Cross multiply
    1,248.09x = 1,869.74 × 698.61
  4. Step 4: Simplify right side
    1,248.09x = 1,306,215.57
  5. Step 5: Solve for x
    x = 1,306,215.57/1,248.09
  6. Step 6: Final answer
    x = 1,046.57

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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.