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Finding the Fourth Proportional to 829.90, 1,144.83 and 564.22

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Solution

The fourth proportional to 829.90, 1,144.83 and 564.22 is: 778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,144.83 = 564.22 : x
  2. Step 2: Convert to fraction form
    829.90/1,144.83 = 564.22/x
  3. Step 3: Cross multiply
    829.90x = 1,144.83 × 564.22
  4. Step 4: Simplify right side
    829.90x = 645,935.98
  5. Step 5: Solve for x
    x = 645,935.98/829.90
  6. Step 6: Final answer
    x = 778.33

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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.