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Finding the Fourth Proportional to 553.87, 831.68 and 397.94

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Solution

The fourth proportional to 553.87, 831.68 and 397.94 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.87 : 831.68 = 397.94 : x
  2. Step 2: Convert to fraction form
    553.87/831.68 = 397.94/x
  3. Step 3: Cross multiply
    553.87x = 831.68 × 397.94
  4. Step 4: Simplify right side
    553.87x = 330,956.75
  5. Step 5: Solve for x
    x = 330,956.75/553.87
  6. Step 6: Final answer
    x = 597.54

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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.