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Finding the Fourth Proportional to 563.82, 843.47 and 487.61

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Solution

The fourth proportional to 563.82, 843.47 and 487.61 is: 729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 843.47 = 487.61 : x
  2. Step 2: Convert to fraction form
    563.82/843.47 = 487.61/x
  3. Step 3: Cross multiply
    563.82x = 843.47 × 487.61
  4. Step 4: Simplify right side
    563.82x = 411,281.41
  5. Step 5: Solve for x
    x = 411,281.41/563.82
  6. Step 6: Final answer
    x = 729.46

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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.