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Finding the Fourth Proportional to 553.54, 763.92 and 366.70

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Solution

The fourth proportional to 553.54, 763.92 and 366.70 is: 506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.54 : 763.92 = 366.70 : x
  2. Step 2: Convert to fraction form
    553.54/763.92 = 366.70/x
  3. Step 3: Cross multiply
    553.54x = 763.92 × 366.70
  4. Step 4: Simplify right side
    553.54x = 280,129.46
  5. Step 5: Solve for x
    x = 280,129.46/553.54
  6. Step 6: Final answer
    x = 506.07

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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.