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Finding the Fourth Proportional to 553.08, 763.09 and 356.43

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Solution

The fourth proportional to 553.08, 763.09 and 356.43 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 763.09 = 356.43 : x
  2. Step 2: Convert to fraction form
    553.08/763.09 = 356.43/x
  3. Step 3: Cross multiply
    553.08x = 763.09 × 356.43
  4. Step 4: Simplify right side
    553.08x = 271,988.17
  5. Step 5: Solve for x
    x = 271,988.17/553.08
  6. Step 6: Final answer
    x = 491.77

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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.