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Finding the Fourth Proportional to 523.21, 784.84 and 431.74

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Solution

The fourth proportional to 523.21, 784.84 and 431.74 is: 647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 784.84 = 431.74 : x
  2. Step 2: Convert to fraction form
    523.21/784.84 = 431.74/x
  3. Step 3: Cross multiply
    523.21x = 784.84 × 431.74
  4. Step 4: Simplify right side
    523.21x = 338,846.82
  5. Step 5: Solve for x
    x = 338,846.82/523.21
  6. Step 6: Final answer
    x = 647.63

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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.