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Finding the Fourth Proportional to 1,257.50, 1,885 and 607.88

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Solution

The fourth proportional to 1,257.50, 1,885 and 607.88 is: 911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.50 : 1,885 = 607.88 : x
  2. Step 2: Convert to fraction form
    1,257.50/1,885 = 607.88/x
  3. Step 3: Cross multiply
    1,257.50x = 1,885 × 607.88
  4. Step 4: Simplify right side
    1,257.50x = 1,145,853.80
  5. Step 5: Solve for x
    x = 1,145,853.80/1,257.50
  6. Step 6: Final answer
    x = 911.22

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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.