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Finding the Fourth Proportional to 523.82, 721.23 and 425.90

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Solution

The fourth proportional to 523.82, 721.23 and 425.90 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.82 : 721.23 = 425.90 : x
  2. Step 2: Convert to fraction form
    523.82/721.23 = 425.90/x
  3. Step 3: Cross multiply
    523.82x = 721.23 × 425.90
  4. Step 4: Simplify right side
    523.82x = 307,171.86
  5. Step 5: Solve for x
    x = 307,171.86/523.82
  6. Step 6: Final answer
    x = 586.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.