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Finding the Fourth Proportional to 493.82, 681.56 and 375.61

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Solution

The fourth proportional to 493.82, 681.56 and 375.61 is: 518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.82 : 681.56 = 375.61 : x
  2. Step 2: Convert to fraction form
    493.82/681.56 = 375.61/x
  3. Step 3: Cross multiply
    493.82x = 681.56 × 375.61
  4. Step 4: Simplify right side
    493.82x = 255,999.86
  5. Step 5: Solve for x
    x = 255,999.86/493.82
  6. Step 6: Final answer
    x = 518.40

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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.