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Finding the Fourth Proportional to 1,257.14, 1,734.90 and 759.68

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Solution

The fourth proportional to 1,257.14, 1,734.90 and 759.68 is: 1,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.14 : 1,734.90 = 759.68 : x
  2. Step 2: Convert to fraction form
    1,257.14/1,734.90 = 759.68/x
  3. Step 3: Cross multiply
    1,257.14x = 1,734.90 × 759.68
  4. Step 4: Simplify right side
    1,257.14x = 1,317,968.83
  5. Step 5: Solve for x
    x = 1,317,968.83/1,257.14
  6. Step 6: Final answer
    x = 1,048.39

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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.