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Finding the Fourth Proportional to 1,256.65, 1,734.20 and 759.22

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Solution

The fourth proportional to 1,256.65, 1,734.20 and 759.22 is: 1,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.65 : 1,734.20 = 759.22 : x
  2. Step 2: Convert to fraction form
    1,256.65/1,734.20 = 759.22/x
  3. Step 3: Cross multiply
    1,256.65x = 1,734.20 × 759.22
  4. Step 4: Simplify right side
    1,256.65x = 1,316,635.53
  5. Step 5: Solve for x
    x = 1,316,635.53/1,256.65
  6. Step 6: Final answer
    x = 1,047.73

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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.