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Finding the Fourth Proportional to 794.26, 1,188.78 and 428.14

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Solution

The fourth proportional to 794.26, 1,188.78 and 428.14 is: 640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.26 : 1,188.78 = 428.14 : x
  2. Step 2: Convert to fraction form
    794.26/1,188.78 = 428.14/x
  3. Step 3: Cross multiply
    794.26x = 1,188.78 × 428.14
  4. Step 4: Simplify right side
    794.26x = 508,964.27
  5. Step 5: Solve for x
    x = 508,964.27/794.26
  6. Step 6: Final answer
    x = 640.80

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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.