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Finding the Fourth Proportional to 697.09, 1,044.01 and 408.73

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Solution

The fourth proportional to 697.09, 1,044.01 and 408.73 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.09 : 1,044.01 = 408.73 : x
  2. Step 2: Convert to fraction form
    697.09/1,044.01 = 408.73/x
  3. Step 3: Cross multiply
    697.09x = 1,044.01 × 408.73
  4. Step 4: Simplify right side
    697.09x = 426,718.21
  5. Step 5: Solve for x
    x = 426,718.21/697.09
  6. Step 6: Final answer
    x = 612.14

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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.