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Finding the Fourth Proportional to 564.82, 845.79 and 275.50

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Solution

The fourth proportional to 564.82, 845.79 and 275.50 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 845.79 = 275.50 : x
  2. Step 2: Convert to fraction form
    564.82/845.79 = 275.50/x
  3. Step 3: Cross multiply
    564.82x = 845.79 × 275.50
  4. Step 4: Simplify right side
    564.82x = 233,015.15
  5. Step 5: Solve for x
    x = 233,015.15/564.82
  6. Step 6: Final answer
    x = 412.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.