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Finding the Fourth Proportional to 493.83, 681.80 and 395.19

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Solution

The fourth proportional to 493.83, 681.80 and 395.19 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.83 : 681.80 = 395.19 : x
  2. Step 2: Convert to fraction form
    493.83/681.80 = 395.19/x
  3. Step 3: Cross multiply
    493.83x = 681.80 × 395.19
  4. Step 4: Simplify right side
    493.83x = 269,438.57
  5. Step 5: Solve for x
    x = 269,438.57/493.83
  6. Step 6: Final answer
    x = 545.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.