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Finding the Fourth Proportional to 1,243.49, 1,864.42 and 695.73

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Solution

The fourth proportional to 1,243.49, 1,864.42 and 695.73 is: 1,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.49 : 1,864.42 = 695.73 : x
  2. Step 2: Convert to fraction form
    1,243.49/1,864.42 = 695.73/x
  3. Step 3: Cross multiply
    1,243.49x = 1,864.42 × 695.73
  4. Step 4: Simplify right side
    1,243.49x = 1,297,132.93
  5. Step 5: Solve for x
    x = 1,297,132.93/1,243.49
  6. Step 6: Final answer
    x = 1,043.14

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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.