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Finding the Fourth Proportional to 523.62, 783.80 and 408.40

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Solution

The fourth proportional to 523.62, 783.80 and 408.40 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 783.80 = 408.40 : x
  2. Step 2: Convert to fraction form
    523.62/783.80 = 408.40/x
  3. Step 3: Cross multiply
    523.62x = 783.80 × 408.40
  4. Step 4: Simplify right side
    523.62x = 320,103.92
  5. Step 5: Solve for x
    x = 320,103.92/523.62
  6. Step 6: Final answer
    x = 611.33

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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.