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Finding the Fourth Proportional to 564.57, 846.63 and 213.09

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Solution

The fourth proportional to 564.57, 846.63 and 213.09 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 846.63 = 213.09 : x
  2. Step 2: Convert to fraction form
    564.57/846.63 = 213.09/x
  3. Step 3: Cross multiply
    564.57x = 846.63 × 213.09
  4. Step 4: Simplify right side
    564.57x = 180,408.39
  5. Step 5: Solve for x
    x = 180,408.39/564.57
  6. Step 6: Final answer
    x = 319.55

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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.