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Finding the Fourth Proportional to 1,223.06, 1,687.77 and 725.99

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Solution

The fourth proportional to 1,223.06, 1,687.77 and 725.99 is: 1,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.06 : 1,687.77 = 725.99 : x
  2. Step 2: Convert to fraction form
    1,223.06/1,687.77 = 725.99/x
  3. Step 3: Cross multiply
    1,223.06x = 1,687.77 × 725.99
  4. Step 4: Simplify right side
    1,223.06x = 1,225,295.70
  5. Step 5: Solve for x
    x = 1,225,295.70/1,223.06
  6. Step 6: Final answer
    x = 1,001.83

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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.