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Finding the Fourth Proportional to 1,398.85, 2,097.70 and 521.41

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Solution

The fourth proportional to 1,398.85, 2,097.70 and 521.41 is: 781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.85 : 2,097.70 = 521.41 : x
  2. Step 2: Convert to fraction form
    1,398.85/2,097.70 = 521.41/x
  3. Step 3: Cross multiply
    1,398.85x = 2,097.70 × 521.41
  4. Step 4: Simplify right side
    1,398.85x = 1,093,755.21
  5. Step 5: Solve for x
    x = 1,093,755.21/1,398.85
  6. Step 6: Final answer
    x = 781.90

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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.