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Finding the Fourth Proportional to 562.63, 842.49 and 408.43

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Solution

The fourth proportional to 562.63, 842.49 and 408.43 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.63 : 842.49 = 408.43 : x
  2. Step 2: Convert to fraction form
    562.63/842.49 = 408.43/x
  3. Step 3: Cross multiply
    562.63x = 842.49 × 408.43
  4. Step 4: Simplify right side
    562.63x = 344,095.65
  5. Step 5: Solve for x
    x = 344,095.65/562.63
  6. Step 6: Final answer
    x = 611.58

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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.