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Finding the Fourth Proportional to 1,254.70, 1,722.20 and 1,201.24

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Solution

The fourth proportional to 1,254.70, 1,722.20 and 1,201.24 is: 1,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.70 : 1,722.20 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    1,254.70/1,722.20 = 1,201.24/x
  3. Step 3: Cross multiply
    1,254.70x = 1,722.20 × 1,201.24
  4. Step 4: Simplify right side
    1,254.70x = 2,068,775.53
  5. Step 5: Solve for x
    x = 2,068,775.53/1,254.70
  6. Step 6: Final answer
    x = 1,648.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.