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Finding the Fourth Proportional to 523.18, 720.34 and 444.33

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Solution

The fourth proportional to 523.18, 720.34 and 444.33 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.18 : 720.34 = 444.33 : x
  2. Step 2: Convert to fraction form
    523.18/720.34 = 444.33/x
  3. Step 3: Cross multiply
    523.18x = 720.34 × 444.33
  4. Step 4: Simplify right side
    523.18x = 320,068.03
  5. Step 5: Solve for x
    x = 320,068.03/523.18
  6. Step 6: Final answer
    x = 611.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.