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Finding the Fourth Proportional to 794.71, 1,192.01 and 423.94

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Solution

The fourth proportional to 794.71, 1,192.01 and 423.94 is: 635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.71 : 1,192.01 = 423.94 : x
  2. Step 2: Convert to fraction form
    794.71/1,192.01 = 423.94/x
  3. Step 3: Cross multiply
    794.71x = 1,192.01 × 423.94
  4. Step 4: Simplify right side
    794.71x = 505,340.72
  5. Step 5: Solve for x
    x = 505,340.72/794.71
  6. Step 6: Final answer
    x = 635.88

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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.