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Finding the Fourth Proportional to 1,247.96, 1,871.46 and 728.15

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Solution

The fourth proportional to 1,247.96, 1,871.46 and 728.15 is: 1,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.96 : 1,871.46 = 728.15 : x
  2. Step 2: Convert to fraction form
    1,247.96/1,871.46 = 728.15/x
  3. Step 3: Cross multiply
    1,247.96x = 1,871.46 × 728.15
  4. Step 4: Simplify right side
    1,247.96x = 1,362,694.24
  5. Step 5: Solve for x
    x = 1,362,694.24/1,247.96
  6. Step 6: Final answer
    x = 1,091.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.