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Finding the Fourth Proportional to 564.59, 846.81 and 217.77

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Solution

The fourth proportional to 564.59, 846.81 and 217.77 is: 326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.59 : 846.81 = 217.77 : x
  2. Step 2: Convert to fraction form
    564.59/846.81 = 217.77/x
  3. Step 3: Cross multiply
    564.59x = 846.81 × 217.77
  4. Step 4: Simplify right side
    564.59x = 184,409.81
  5. Step 5: Solve for x
    x = 184,409.81/564.59
  6. Step 6: Final answer
    x = 326.63

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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.