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Finding the Fourth Proportional to 564.45, 846.46 and 217.77

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Solution

The fourth proportional to 564.45, 846.46 and 217.77 is: 326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 846.46 = 217.77 : x
  2. Step 2: Convert to fraction form
    564.45/846.46 = 217.77/x
  3. Step 3: Cross multiply
    564.45x = 846.46 × 217.77
  4. Step 4: Simplify right side
    564.45x = 184,333.59
  5. Step 5: Solve for x
    x = 184,333.59/564.45
  6. Step 6: Final answer
    x = 326.57

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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.