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Finding the Fourth Proportional to 523.53, 721.31 and 425.12

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Solution

The fourth proportional to 523.53, 721.31 and 425.12 is: 585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 721.31 = 425.12 : x
  2. Step 2: Convert to fraction form
    523.53/721.31 = 425.12/x
  3. Step 3: Cross multiply
    523.53x = 721.31 × 425.12
  4. Step 4: Simplify right side
    523.53x = 306,637.58
  5. Step 5: Solve for x
    x = 306,637.58/523.53
  6. Step 6: Final answer
    x = 585.71

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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.