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Finding the Fourth Proportional to 491.95, 738.36 and 439.81

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Solution

The fourth proportional to 491.95, 738.36 and 439.81 is: 660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.95 : 738.36 = 439.81 : x
  2. Step 2: Convert to fraction form
    491.95/738.36 = 439.81/x
  3. Step 3: Cross multiply
    491.95x = 738.36 × 439.81
  4. Step 4: Simplify right side
    491.95x = 324,736.27
  5. Step 5: Solve for x
    x = 324,736.27/491.95
  6. Step 6: Final answer
    x = 660.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.