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Finding the Fourth Proportional to 491.89, 677.82 and 380.92

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Solution

The fourth proportional to 491.89, 677.82 and 380.92 is: 524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 677.82 = 380.92 : x
  2. Step 2: Convert to fraction form
    491.89/677.82 = 380.92/x
  3. Step 3: Cross multiply
    491.89x = 677.82 × 380.92
  4. Step 4: Simplify right side
    491.89x = 258,195.19
  5. Step 5: Solve for x
    x = 258,195.19/491.89
  6. Step 6: Final answer
    x = 524.90

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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.