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Finding the Fourth Proportional to 1,397.79, 2,097.09 and 423.90

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Solution

The fourth proportional to 1,397.79, 2,097.09 and 423.90 is: 635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.79 : 2,097.09 = 423.90 : x
  2. Step 2: Convert to fraction form
    1,397.79/2,097.09 = 423.90/x
  3. Step 3: Cross multiply
    1,397.79x = 2,097.09 × 423.90
  4. Step 4: Simplify right side
    1,397.79x = 888,956.45
  5. Step 5: Solve for x
    x = 888,956.45/1,397.79
  6. Step 6: Final answer
    x = 635.97

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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.