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Finding the Fourth Proportional to 609.26, 841.20 and 399.47

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Solution

The fourth proportional to 609.26, 841.20 and 399.47 is: 551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 841.20 = 399.47 : x
  2. Step 2: Convert to fraction form
    609.26/841.20 = 399.47/x
  3. Step 3: Cross multiply
    609.26x = 841.20 × 399.47
  4. Step 4: Simplify right side
    609.26x = 336,034.16
  5. Step 5: Solve for x
    x = 336,034.16/609.26
  6. Step 6: Final answer
    x = 551.54

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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.