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Finding the Fourth Proportional to 553.48, 763.66 and 356.75

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Solution

The fourth proportional to 553.48, 763.66 and 356.75 is: 492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.48 : 763.66 = 356.75 : x
  2. Step 2: Convert to fraction form
    553.48/763.66 = 356.75/x
  3. Step 3: Cross multiply
    553.48x = 763.66 × 356.75
  4. Step 4: Simplify right side
    553.48x = 272,433.92
  5. Step 5: Solve for x
    x = 272,433.92/553.48
  6. Step 6: Final answer
    x = 492.22

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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.