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Finding the Fourth Proportional to 1,251.07, 1,726.47 and 699.07

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Solution

The fourth proportional to 1,251.07, 1,726.47 and 699.07 is: 964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.07 : 1,726.47 = 699.07 : x
  2. Step 2: Convert to fraction form
    1,251.07/1,726.47 = 699.07/x
  3. Step 3: Cross multiply
    1,251.07x = 1,726.47 × 699.07
  4. Step 4: Simplify right side
    1,251.07x = 1,206,911.26
  5. Step 5: Solve for x
    x = 1,206,911.26/1,251.07
  6. Step 6: Final answer
    x = 964.71

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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.