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Finding the Fourth Proportional to 605, 834.60 and 430.44

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Solution

The fourth proportional to 605, 834.60 and 430.44 is: 593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605 : 834.60 = 430.44 : x
  2. Step 2: Convert to fraction form
    605/834.60 = 430.44/x
  3. Step 3: Cross multiply
    605x = 834.60 × 430.44
  4. Step 4: Simplify right side
    605x = 359,245.22
  5. Step 5: Solve for x
    x = 359,245.22/605
  6. Step 6: Final answer
    x = 593.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.