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Finding the Fourth Proportional to 843.36, 1,164.32 and 564.08

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Solution

The fourth proportional to 843.36, 1,164.32 and 564.08 is: 778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.36 : 1,164.32 = 564.08 : x
  2. Step 2: Convert to fraction form
    843.36/1,164.32 = 564.08/x
  3. Step 3: Cross multiply
    843.36x = 1,164.32 × 564.08
  4. Step 4: Simplify right side
    843.36x = 656,760.98
  5. Step 5: Solve for x
    x = 656,760.98/843.36
  6. Step 6: Final answer
    x = 778.74

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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.