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Finding the Fourth Proportional to 1,256.76, 1,734.45 and 725.65

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Solution

The fourth proportional to 1,256.76, 1,734.45 and 725.65 is: 1,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.76 : 1,734.45 = 725.65 : x
  2. Step 2: Convert to fraction form
    1,256.76/1,734.45 = 725.65/x
  3. Step 3: Cross multiply
    1,256.76x = 1,734.45 × 725.65
  4. Step 4: Simplify right side
    1,256.76x = 1,258,599.31
  5. Step 5: Solve for x
    x = 1,258,599.31/1,256.76
  6. Step 6: Final answer
    x = 1,001.46

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1.5x scale

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.