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Finding the Fourth Proportional to 1,256.05, 1,733.25 and 731.98

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Solution

The fourth proportional to 1,256.05, 1,733.25 and 731.98 is: 1,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.05 : 1,733.25 = 731.98 : x
  2. Step 2: Convert to fraction form
    1,256.05/1,733.25 = 731.98/x
  3. Step 3: Cross multiply
    1,256.05x = 1,733.25 × 731.98
  4. Step 4: Simplify right side
    1,256.05x = 1,268,704.34
  5. Step 5: Solve for x
    x = 1,268,704.34/1,256.05
  6. Step 6: Final answer
    x = 1,010.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.