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Finding the Fourth Proportional to 605.31, 835.31 and 343.32

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Solution

The fourth proportional to 605.31, 835.31 and 343.32 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.31 : 835.31 = 343.32 : x
  2. Step 2: Convert to fraction form
    605.31/835.31 = 343.32/x
  3. Step 3: Cross multiply
    605.31x = 835.31 × 343.32
  4. Step 4: Simplify right side
    605.31x = 286,776.91
  5. Step 5: Solve for x
    x = 286,776.91/605.31
  6. Step 6: Final answer
    x = 473.77

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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.