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Finding the Fourth Proportional to 563.43, 844.93 and 216.60

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Solution

The fourth proportional to 563.43, 844.93 and 216.60 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.43 : 844.93 = 216.60 : x
  2. Step 2: Convert to fraction form
    563.43/844.93 = 216.60/x
  3. Step 3: Cross multiply
    563.43x = 844.93 × 216.60
  4. Step 4: Simplify right side
    563.43x = 183,011.84
  5. Step 5: Solve for x
    x = 183,011.84/563.43
  6. Step 6: Final answer
    x = 324.82

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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.