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Finding the Fourth Proportional to 1,252.97, 1,729.09 and 693.43

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Solution

The fourth proportional to 1,252.97, 1,729.09 and 693.43 is: 956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.97 : 1,729.09 = 693.43 : x
  2. Step 2: Convert to fraction form
    1,252.97/1,729.09 = 693.43/x
  3. Step 3: Cross multiply
    1,252.97x = 1,729.09 × 693.43
  4. Step 4: Simplify right side
    1,252.97x = 1,199,005.25
  5. Step 5: Solve for x
    x = 1,199,005.25/1,252.97
  6. Step 6: Final answer
    x = 956.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.