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Finding the Fourth Proportional to 491.81, 675.47 and 408.78

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Solution

The fourth proportional to 491.81, 675.47 and 408.78 is: 561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 675.47 = 408.78 : x
  2. Step 2: Convert to fraction form
    491.81/675.47 = 408.78/x
  3. Step 3: Cross multiply
    491.81x = 675.47 × 408.78
  4. Step 4: Simplify right side
    491.81x = 276,119.65
  5. Step 5: Solve for x
    x = 276,119.65/491.81
  6. Step 6: Final answer
    x = 561.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.