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Finding the Fourth Proportional to 768.14, 1,152.21 and 426.86

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Solution

The fourth proportional to 768.14, 1,152.21 and 426.86 is: 640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.14 : 1,152.21 = 426.86 : x
  2. Step 2: Convert to fraction form
    768.14/1,152.21 = 426.86/x
  3. Step 3: Cross multiply
    768.14x = 1,152.21 × 426.86
  4. Step 4: Simplify right side
    768.14x = 491,832.36
  5. Step 5: Solve for x
    x = 491,832.36/768.14
  6. Step 6: Final answer
    x = 640.29

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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.