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Finding the Fourth Proportional to 553.34, 763.76 and 343.49

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Solution

The fourth proportional to 553.34, 763.76 and 343.49 is: 474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.34 : 763.76 = 343.49 : x
  2. Step 2: Convert to fraction form
    553.34/763.76 = 343.49/x
  3. Step 3: Cross multiply
    553.34x = 763.76 × 343.49
  4. Step 4: Simplify right side
    553.34x = 262,342.20
  5. Step 5: Solve for x
    x = 262,342.20/553.34
  6. Step 6: Final answer
    x = 474.11

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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.