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Finding the Fourth Proportional to 563.79, 845.85 and 217.16

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Solution

The fourth proportional to 563.79, 845.85 and 217.16 is: 325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.79 : 845.85 = 217.16 : x
  2. Step 2: Convert to fraction form
    563.79/845.85 = 217.16/x
  3. Step 3: Cross multiply
    563.79x = 845.85 × 217.16
  4. Step 4: Simplify right side
    563.79x = 183,680.56
  5. Step 5: Solve for x
    x = 183,680.56/563.79
  6. Step 6: Final answer
    x = 325.80

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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.