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Finding the Fourth Proportional to 1,223.21, 1,687.77 and 726.01

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Solution

The fourth proportional to 1,223.21, 1,687.77 and 726.01 is: 1,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.21 : 1,687.77 = 726.01 : x
  2. Step 2: Convert to fraction form
    1,223.21/1,687.77 = 726.01/x
  3. Step 3: Cross multiply
    1,223.21x = 1,687.77 × 726.01
  4. Step 4: Simplify right side
    1,223.21x = 1,225,333.68
  5. Step 5: Solve for x
    x = 1,225,333.68/1,223.21
  6. Step 6: Final answer
    x = 1,001.73

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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.