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Finding the Fourth Proportional to 1,257.99, 1,736.07 and 698.49

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Solution

The fourth proportional to 1,257.99, 1,736.07 and 698.49 is: 963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.99 : 1,736.07 = 698.49 : x
  2. Step 2: Convert to fraction form
    1,257.99/1,736.07 = 698.49/x
  3. Step 3: Cross multiply
    1,257.99x = 1,736.07 × 698.49
  4. Step 4: Simplify right side
    1,257.99x = 1,212,627.53
  5. Step 5: Solve for x
    x = 1,212,627.53/1,257.99
  6. Step 6: Final answer
    x = 963.94

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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.