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Finding the Fourth Proportional to 1,256.50, 1,731.54 and 1,240.30

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Solution

The fourth proportional to 1,256.50, 1,731.54 and 1,240.30 is: 1,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.50 : 1,731.54 = 1,240.30 : x
  2. Step 2: Convert to fraction form
    1,256.50/1,731.54 = 1,240.30/x
  3. Step 3: Cross multiply
    1,256.50x = 1,731.54 × 1,240.30
  4. Step 4: Simplify right side
    1,256.50x = 2,147,629.06
  5. Step 5: Solve for x
    x = 2,147,629.06/1,256.50
  6. Step 6: Final answer
    x = 1,709.22

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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.