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Finding the Fourth Proportional to 523.32, 784.02 and 408.12

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Solution

The fourth proportional to 523.32, 784.02 and 408.12 is: 611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 784.02 = 408.12 : x
  2. Step 2: Convert to fraction form
    523.32/784.02 = 408.12/x
  3. Step 3: Cross multiply
    523.32x = 784.02 × 408.12
  4. Step 4: Simplify right side
    523.32x = 319,974.24
  5. Step 5: Solve for x
    x = 319,974.24/523.32
  6. Step 6: Final answer
    x = 611.43

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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.