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Finding the Fourth Proportional to 553.71, 763.86 and 367.29

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Solution

The fourth proportional to 553.71, 763.86 and 367.29 is: 506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.71 : 763.86 = 367.29 : x
  2. Step 2: Convert to fraction form
    553.71/763.86 = 367.29/x
  3. Step 3: Cross multiply
    553.71x = 763.86 × 367.29
  4. Step 4: Simplify right side
    553.71x = 280,558.14
  5. Step 5: Solve for x
    x = 280,558.14/553.71
  6. Step 6: Final answer
    x = 506.69

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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.