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Finding the Fourth Proportional to 2,257.90, 3,387.36 and 718.90

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Solution

The fourth proportional to 2,257.90, 3,387.36 and 718.90 is: 1,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.90 : 3,387.36 = 718.90 : x
  2. Step 2: Convert to fraction form
    2,257.90/3,387.36 = 718.90/x
  3. Step 3: Cross multiply
    2,257.90x = 3,387.36 × 718.90
  4. Step 4: Simplify right side
    2,257.90x = 2,435,173.10
  5. Step 5: Solve for x
    x = 2,435,173.10/2,257.90
  6. Step 6: Final answer
    x = 1,078.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.