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Finding the Fourth Proportional to 523.21, 784.83 and 431.73

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Solution

The fourth proportional to 523.21, 784.83 and 431.73 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 784.83 = 431.73 : x
  2. Step 2: Convert to fraction form
    523.21/784.83 = 431.73/x
  3. Step 3: Cross multiply
    523.21x = 784.83 × 431.73
  4. Step 4: Simplify right side
    523.21x = 338,834.66
  5. Step 5: Solve for x
    x = 338,834.66/523.21
  6. Step 6: Final answer
    x = 647.61

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Double scale
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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.