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Finding the Fourth Proportional to 553.96, 831.90 and 361.48

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Solution

The fourth proportional to 553.96, 831.90 and 361.48 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 831.90 = 361.48 : x
  2. Step 2: Convert to fraction form
    553.96/831.90 = 361.48/x
  3. Step 3: Cross multiply
    553.96x = 831.90 × 361.48
  4. Step 4: Simplify right side
    553.96x = 300,715.21
  5. Step 5: Solve for x
    x = 300,715.21/553.96
  6. Step 6: Final answer
    x = 542.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.