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Finding the Fourth Proportional to 553.41, 763.51 and 343.75

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Solution

The fourth proportional to 553.41, 763.51 and 343.75 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.41 : 763.51 = 343.75 : x
  2. Step 2: Convert to fraction form
    553.41/763.51 = 343.75/x
  3. Step 3: Cross multiply
    553.41x = 763.51 × 343.75
  4. Step 4: Simplify right side
    553.41x = 262,456.56
  5. Step 5: Solve for x
    x = 262,456.56/553.41
  6. Step 6: Final answer
    x = 474.25

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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.