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Finding the Fourth Proportional to 563.39, 844.04 and 408.93

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Solution

The fourth proportional to 563.39, 844.04 and 408.93 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.39 : 844.04 = 408.93 : x
  2. Step 2: Convert to fraction form
    563.39/844.04 = 408.93/x
  3. Step 3: Cross multiply
    563.39x = 844.04 × 408.93
  4. Step 4: Simplify right side
    563.39x = 345,151.23
  5. Step 5: Solve for x
    x = 345,151.23/563.39
  6. Step 6: Final answer
    x = 612.64

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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.