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Finding the Fourth Proportional to 523.46, 722.02 and 398.85

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Solution

The fourth proportional to 523.46, 722.02 and 398.85 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.46 : 722.02 = 398.85 : x
  2. Step 2: Convert to fraction form
    523.46/722.02 = 398.85/x
  3. Step 3: Cross multiply
    523.46x = 722.02 × 398.85
  4. Step 4: Simplify right side
    523.46x = 287,977.68
  5. Step 5: Solve for x
    x = 287,977.68/523.46
  6. Step 6: Final answer
    x = 550.14

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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.