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Finding the Fourth Proportional to 1,256.24, 1,733.06 and 731.96

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Solution

The fourth proportional to 1,256.24, 1,733.06 and 731.96 is: 1,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.24 : 1,733.06 = 731.96 : x
  2. Step 2: Convert to fraction form
    1,256.24/1,733.06 = 731.96/x
  3. Step 3: Cross multiply
    1,256.24x = 1,733.06 × 731.96
  4. Step 4: Simplify right side
    1,256.24x = 1,268,530.60
  5. Step 5: Solve for x
    x = 1,268,530.60/1,256.24
  6. Step 6: Final answer
    x = 1,009.78

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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.