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Finding the Fourth Proportional to 1,247.63, 1,722.14 and 723.56

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Solution

The fourth proportional to 1,247.63, 1,722.14 and 723.56 is: 998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.63 : 1,722.14 = 723.56 : x
  2. Step 2: Convert to fraction form
    1,247.63/1,722.14 = 723.56/x
  3. Step 3: Cross multiply
    1,247.63x = 1,722.14 × 723.56
  4. Step 4: Simplify right side
    1,247.63x = 1,246,059.39
  5. Step 5: Solve for x
    x = 1,246,059.39/1,247.63
  6. Step 6: Final answer
    x = 998.75

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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.