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Finding the Fourth Proportional to 564.82, 842.39 and 535.66

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Solution

The fourth proportional to 564.82, 842.39 and 535.66 is: 798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 842.39 = 535.66 : x
  2. Step 2: Convert to fraction form
    564.82/842.39 = 535.66/x
  3. Step 3: Cross multiply
    564.82x = 842.39 × 535.66
  4. Step 4: Simplify right side
    564.82x = 451,234.63
  5. Step 5: Solve for x
    x = 451,234.63/564.82
  6. Step 6: Final answer
    x = 798.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.