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Finding the Fourth Proportional to 563.80, 843.72 and 487.66

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Solution

The fourth proportional to 563.80, 843.72 and 487.66 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.80 : 843.72 = 487.66 : x
  2. Step 2: Convert to fraction form
    563.80/843.72 = 487.66/x
  3. Step 3: Cross multiply
    563.80x = 843.72 × 487.66
  4. Step 4: Simplify right side
    563.80x = 411,448.50
  5. Step 5: Solve for x
    x = 411,448.50/563.80
  6. Step 6: Final answer
    x = 729.78

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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.