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Finding the Fourth Proportional to 564.41, 846.30 and 217.83

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Solution

The fourth proportional to 564.41, 846.30 and 217.83 is: 326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.41 : 846.30 = 217.83 : x
  2. Step 2: Convert to fraction form
    564.41/846.30 = 217.83/x
  3. Step 3: Cross multiply
    564.41x = 846.30 × 217.83
  4. Step 4: Simplify right side
    564.41x = 184,345.30
  5. Step 5: Solve for x
    x = 184,345.30/564.41
  6. Step 6: Final answer
    x = 326.62

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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.