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Finding the Fourth Proportional to 563.76, 843.96 and 319.52

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Solution

The fourth proportional to 563.76, 843.96 and 319.52 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 843.96 = 319.52 : x
  2. Step 2: Convert to fraction form
    563.76/843.96 = 319.52/x
  3. Step 3: Cross multiply
    563.76x = 843.96 × 319.52
  4. Step 4: Simplify right side
    563.76x = 269,662.10
  5. Step 5: Solve for x
    x = 269,662.10/563.76
  6. Step 6: Final answer
    x = 478.33

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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.