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Finding the Fourth Proportional to 1,399.14, 2,098.05 and 521.34

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Solution

The fourth proportional to 1,399.14, 2,098.05 and 521.34 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.14 : 2,098.05 = 521.34 : x
  2. Step 2: Convert to fraction form
    1,399.14/2,098.05 = 521.34/x
  3. Step 3: Cross multiply
    1,399.14x = 2,098.05 × 521.34
  4. Step 4: Simplify right side
    1,399.14x = 1,093,797.39
  5. Step 5: Solve for x
    x = 1,093,797.39/1,399.14
  6. Step 6: Final answer
    x = 781.76

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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.