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Finding the Fourth Proportional to 1,306.50, 1,797.21 and 1,253.22

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Solution

The fourth proportional to 1,306.50, 1,797.21 and 1,253.22 is: 1,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.50 : 1,797.21 = 1,253.22 : x
  2. Step 2: Convert to fraction form
    1,306.50/1,797.21 = 1,253.22/x
  3. Step 3: Cross multiply
    1,306.50x = 1,797.21 × 1,253.22
  4. Step 4: Simplify right side
    1,306.50x = 2,252,299.52
  5. Step 5: Solve for x
    x = 2,252,299.52/1,306.50
  6. Step 6: Final answer
    x = 1,723.92

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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.