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Finding the Fourth Proportional to 477.82, 717.18 and 367.08

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Solution

The fourth proportional to 477.82, 717.18 and 367.08 is: 550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.82 : 717.18 = 367.08 : x
  2. Step 2: Convert to fraction form
    477.82/717.18 = 367.08/x
  3. Step 3: Cross multiply
    477.82x = 717.18 × 367.08
  4. Step 4: Simplify right side
    477.82x = 263,262.43
  5. Step 5: Solve for x
    x = 263,262.43/477.82
  6. Step 6: Final answer
    x = 550.97

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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.