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Finding the Fourth Proportional to 491.70, 677.97 and 295.14

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Solution

The fourth proportional to 491.70, 677.97 and 295.14 is: 406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 677.97 = 295.14 : x
  2. Step 2: Convert to fraction form
    491.70/677.97 = 295.14/x
  3. Step 3: Cross multiply
    491.70x = 677.97 × 295.14
  4. Step 4: Simplify right side
    491.70x = 200,096.07
  5. Step 5: Solve for x
    x = 200,096.07/491.70
  6. Step 6: Final answer
    x = 406.95

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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.