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Finding the Fourth Proportional to 2,257.88, 3,387.02 and 718.88

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Solution

The fourth proportional to 2,257.88, 3,387.02 and 718.88 is: 1,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.88 : 3,387.02 = 718.88 : x
  2. Step 2: Convert to fraction form
    2,257.88/3,387.02 = 718.88/x
  3. Step 3: Cross multiply
    2,257.88x = 3,387.02 × 718.88
  4. Step 4: Simplify right side
    2,257.88x = 2,434,840.41
  5. Step 5: Solve for x
    x = 2,434,840.41/2,257.88
  6. Step 6: Final answer
    x = 1,078.38

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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.