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Finding the Fourth Proportional to 1,397.56, 2,097.42 and 520.90

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Solution

The fourth proportional to 1,397.56, 2,097.42 and 520.90 is: 781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.56 : 2,097.42 = 520.90 : x
  2. Step 2: Convert to fraction form
    1,397.56/2,097.42 = 520.90/x
  3. Step 3: Cross multiply
    1,397.56x = 2,097.42 × 520.90
  4. Step 4: Simplify right side
    1,397.56x = 1,092,546.08
  5. Step 5: Solve for x
    x = 1,092,546.08/1,397.56
  6. Step 6: Final answer
    x = 781.75

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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.