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Finding the Fourth Proportional to 1,256.96, 1,871.16 and 1,197.27

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Solution

The fourth proportional to 1,256.96, 1,871.16 and 1,197.27 is: 1,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.96 : 1,871.16 = 1,197.27 : x
  2. Step 2: Convert to fraction form
    1,256.96/1,871.16 = 1,197.27/x
  3. Step 3: Cross multiply
    1,256.96x = 1,871.16 × 1,197.27
  4. Step 4: Simplify right side
    1,256.96x = 2,240,283.73
  5. Step 5: Solve for x
    x = 2,240,283.73/1,256.96
  6. Step 6: Final answer
    x = 1,782.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.