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Finding the Fourth Proportional to 538.26, 807.66 and 408.21

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Solution

The fourth proportional to 538.26, 807.66 and 408.21 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.26 : 807.66 = 408.21 : x
  2. Step 2: Convert to fraction form
    538.26/807.66 = 408.21/x
  3. Step 3: Cross multiply
    538.26x = 807.66 × 408.21
  4. Step 4: Simplify right side
    538.26x = 329,694.89
  5. Step 5: Solve for x
    x = 329,694.89/538.26
  6. Step 6: Final answer
    x = 612.52

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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.