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Finding the Fourth Proportional to 400.83, 596.78 and 395.97

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Solution

The fourth proportional to 400.83, 596.78 and 395.97 is: 589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.83 : 596.78 = 395.97 : x
  2. Step 2: Convert to fraction form
    400.83/596.78 = 395.97/x
  3. Step 3: Cross multiply
    400.83x = 596.78 × 395.97
  4. Step 4: Simplify right side
    400.83x = 236,305.00
  5. Step 5: Solve for x
    x = 236,305.00/400.83
  6. Step 6: Final answer
    x = 589.54

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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.