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Finding the Fourth Proportional to 1,248.24, 1,868.41 and 698.76

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Solution

The fourth proportional to 1,248.24, 1,868.41 and 698.76 is: 1,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.24 : 1,868.41 = 698.76 : x
  2. Step 2: Convert to fraction form
    1,248.24/1,868.41 = 698.76/x
  3. Step 3: Cross multiply
    1,248.24x = 1,868.41 × 698.76
  4. Step 4: Simplify right side
    1,248.24x = 1,305,568.42
  5. Step 5: Solve for x
    x = 1,305,568.42/1,248.24
  6. Step 6: Final answer
    x = 1,045.93

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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.