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Finding the Fourth Proportional to 1,257.75, 1,735.70 and 698.23

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Solution

The fourth proportional to 1,257.75, 1,735.70 and 698.23 is: 963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.75 : 1,735.70 = 698.23 : x
  2. Step 2: Convert to fraction form
    1,257.75/1,735.70 = 698.23/x
  3. Step 3: Cross multiply
    1,257.75x = 1,735.70 × 698.23
  4. Step 4: Simplify right side
    1,257.75x = 1,211,905.64
  5. Step 5: Solve for x
    x = 1,211,905.64/1,257.75
  6. Step 6: Final answer
    x = 963.55

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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.