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Finding the Fourth Proportional to 609.31, 841.11 and 399.49

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Solution

The fourth proportional to 609.31, 841.11 and 399.49 is: 551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.31 : 841.11 = 399.49 : x
  2. Step 2: Convert to fraction form
    609.31/841.11 = 399.49/x
  3. Step 3: Cross multiply
    609.31x = 841.11 × 399.49
  4. Step 4: Simplify right side
    609.31x = 336,010.83
  5. Step 5: Solve for x
    x = 336,010.83/609.31
  6. Step 6: Final answer
    x = 551.47

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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.