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Finding the Fourth Proportional to 643.32, 884.49 and 523.80

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Solution

The fourth proportional to 643.32, 884.49 and 523.80 is: 720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 884.49 = 523.80 : x
  2. Step 2: Convert to fraction form
    643.32/884.49 = 523.80/x
  3. Step 3: Cross multiply
    643.32x = 884.49 × 523.80
  4. Step 4: Simplify right side
    643.32x = 463,295.86
  5. Step 5: Solve for x
    x = 463,295.86/643.32
  6. Step 6: Final answer
    x = 720.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.