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Finding the Fourth Proportional to 553.91, 830.75 and 323.24

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Solution

The fourth proportional to 553.91, 830.75 and 323.24 is: 484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.91 : 830.75 = 323.24 : x
  2. Step 2: Convert to fraction form
    553.91/830.75 = 323.24/x
  3. Step 3: Cross multiply
    553.91x = 830.75 × 323.24
  4. Step 4: Simplify right side
    553.91x = 268,525.86
  5. Step 5: Solve for x
    x = 268,525.86/553.91
  6. Step 6: Final answer
    x = 484.79

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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.