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Finding the Fourth Proportional to 2,257.94, 3,387.07 and 698.09

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Solution

The fourth proportional to 2,257.94, 3,387.07 and 698.09 is: 1,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.94 : 3,387.07 = 698.09 : x
  2. Step 2: Convert to fraction form
    2,257.94/3,387.07 = 698.09/x
  3. Step 3: Cross multiply
    2,257.94x = 3,387.07 × 698.09
  4. Step 4: Simplify right side
    2,257.94x = 2,364,459.71
  5. Step 5: Solve for x
    x = 2,364,459.71/2,257.94
  6. Step 6: Final answer
    x = 1,047.17

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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.