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Finding the Fourth Proportional to 523.19, 721.48 and 444.42

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Solution

The fourth proportional to 523.19, 721.48 and 444.42 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 721.48 = 444.42 : x
  2. Step 2: Convert to fraction form
    523.19/721.48 = 444.42/x
  3. Step 3: Cross multiply
    523.19x = 721.48 × 444.42
  4. Step 4: Simplify right side
    523.19x = 320,640.14
  5. Step 5: Solve for x
    x = 320,640.14/523.19
  6. Step 6: Final answer
    x = 612.86

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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.