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Finding the Fourth Proportional to 611.78, 844.56 and 402.26

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Solution

The fourth proportional to 611.78, 844.56 and 402.26 is: 555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.78 : 844.56 = 402.26 : x
  2. Step 2: Convert to fraction form
    611.78/844.56 = 402.26/x
  3. Step 3: Cross multiply
    611.78x = 844.56 × 402.26
  4. Step 4: Simplify right side
    611.78x = 339,728.48
  5. Step 5: Solve for x
    x = 339,728.48/611.78
  6. Step 6: Final answer
    x = 555.32

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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.