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Finding the Fourth Proportional to 611.37, 843.48 and 564.80

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Solution

The fourth proportional to 611.37, 843.48 and 564.80 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.37 : 843.48 = 564.80 : x
  2. Step 2: Convert to fraction form
    611.37/843.48 = 564.80/x
  3. Step 3: Cross multiply
    611.37x = 843.48 × 564.80
  4. Step 4: Simplify right side
    611.37x = 476,393.29
  5. Step 5: Solve for x
    x = 476,393.29/611.37
  6. Step 6: Final answer
    x = 779.22

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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.