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Finding the Fourth Proportional to 605.85, 836.13 and 340.31

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Solution

The fourth proportional to 605.85, 836.13 and 340.31 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 836.13 = 340.31 : x
  2. Step 2: Convert to fraction form
    605.85/836.13 = 340.31/x
  3. Step 3: Cross multiply
    605.85x = 836.13 × 340.31
  4. Step 4: Simplify right side
    605.85x = 284,539.22
  5. Step 5: Solve for x
    x = 284,539.22/605.85
  6. Step 6: Final answer
    x = 469.65

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