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Finding the Fourth Proportional to 794.59, 1,190.97 and 428.61

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Solution

The fourth proportional to 794.59, 1,190.97 and 428.61 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.59 : 1,190.97 = 428.61 : x
  2. Step 2: Convert to fraction form
    794.59/1,190.97 = 428.61/x
  3. Step 3: Cross multiply
    794.59x = 1,190.97 × 428.61
  4. Step 4: Simplify right side
    794.59x = 510,459.42
  5. Step 5: Solve for x
    x = 510,459.42/794.59
  6. Step 6: Final answer
    x = 642.42

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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.