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Finding the Fourth Proportional to 1,247.74, 1,723.02 and 806.40

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Solution

The fourth proportional to 1,247.74, 1,723.02 and 806.40 is: 1,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.74 : 1,723.02 = 806.40 : x
  2. Step 2: Convert to fraction form
    1,247.74/1,723.02 = 806.40/x
  3. Step 3: Cross multiply
    1,247.74x = 1,723.02 × 806.40
  4. Step 4: Simplify right side
    1,247.74x = 1,389,443.33
  5. Step 5: Solve for x
    x = 1,389,443.33/1,247.74
  6. Step 6: Final answer
    x = 1,113.57

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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.