Home / 1,257.40-1,735.23-759.95

Finding the Fourth Proportional to 1,257.40, 1,735.23 and 759.95

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Solution

The fourth proportional to 1,257.40, 1,735.23 and 759.95 is: 1,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.40 : 1,735.23 = 759.95 : x
  2. Step 2: Convert to fraction form
    1,257.40/1,735.23 = 759.95/x
  3. Step 3: Cross multiply
    1,257.40x = 1,735.23 × 759.95
  4. Step 4: Simplify right side
    1,257.40x = 1,318,688.04
  5. Step 5: Solve for x
    x = 1,318,688.04/1,257.40
  6. Step 6: Final answer
    x = 1,048.74

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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.