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Finding the Fourth Proportional to 563.20, 843.78 and 472.48

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Solution

The fourth proportional to 563.20, 843.78 and 472.48 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 843.78 = 472.48 : x
  2. Step 2: Convert to fraction form
    563.20/843.78 = 472.48/x
  3. Step 3: Cross multiply
    563.20x = 843.78 × 472.48
  4. Step 4: Simplify right side
    563.20x = 398,669.17
  5. Step 5: Solve for x
    x = 398,669.17/563.20
  6. Step 6: Final answer
    x = 707.86

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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.