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Finding the Fourth Proportional to 523.97, 722.62 and 431.33

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Solution

The fourth proportional to 523.97, 722.62 and 431.33 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 722.62 = 431.33 : x
  2. Step 2: Convert to fraction form
    523.97/722.62 = 431.33/x
  3. Step 3: Cross multiply
    523.97x = 722.62 × 431.33
  4. Step 4: Simplify right side
    523.97x = 311,684.61
  5. Step 5: Solve for x
    x = 311,684.61/523.97
  6. Step 6: Final answer
    x = 594.85

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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.