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Finding the Fourth Proportional to 605.84, 835.98 and 431.96

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Solution

The fourth proportional to 605.84, 835.98 and 431.96 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.84 : 835.98 = 431.96 : x
  2. Step 2: Convert to fraction form
    605.84/835.98 = 431.96/x
  3. Step 3: Cross multiply
    605.84x = 835.98 × 431.96
  4. Step 4: Simplify right side
    605.84x = 361,109.92
  5. Step 5: Solve for x
    x = 361,109.92/605.84
  6. Step 6: Final answer
    x = 596.05

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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.