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Finding the Fourth Proportional to 563.85, 842.04 and 482.04

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Solution

The fourth proportional to 563.85, 842.04 and 482.04 is: 719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 842.04 = 482.04 : x
  2. Step 2: Convert to fraction form
    563.85/842.04 = 482.04/x
  3. Step 3: Cross multiply
    563.85x = 842.04 × 482.04
  4. Step 4: Simplify right side
    563.85x = 405,896.96
  5. Step 5: Solve for x
    x = 405,896.96/563.85
  6. Step 6: Final answer
    x = 719.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.