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Finding the Fourth Proportional to 1,794.31, 2,691.42 and 478.07

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Solution

The fourth proportional to 1,794.31, 2,691.42 and 478.07 is: 717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.31 : 2,691.42 = 478.07 : x
  2. Step 2: Convert to fraction form
    1,794.31/2,691.42 = 478.07/x
  3. Step 3: Cross multiply
    1,794.31x = 2,691.42 × 478.07
  4. Step 4: Simplify right side
    1,794.31x = 1,286,687.16
  5. Step 5: Solve for x
    x = 1,286,687.16/1,794.31
  6. Step 6: Final answer
    x = 717.09

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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.