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Finding the Fourth Proportional to 553.70, 763.54 and 367.12

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Solution

The fourth proportional to 553.70, 763.54 and 367.12 is: 506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 763.54 = 367.12 : x
  2. Step 2: Convert to fraction form
    553.70/763.54 = 367.12/x
  3. Step 3: Cross multiply
    553.70x = 763.54 × 367.12
  4. Step 4: Simplify right side
    553.70x = 280,310.80
  5. Step 5: Solve for x
    x = 280,310.80/553.70
  6. Step 6: Final answer
    x = 506.25

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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.