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Finding the Fourth Proportional to 523.78, 721.92 and 383.86

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Solution

The fourth proportional to 523.78, 721.92 and 383.86 is: 529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 721.92 = 383.86 : x
  2. Step 2: Convert to fraction form
    523.78/721.92 = 383.86/x
  3. Step 3: Cross multiply
    523.78x = 721.92 × 383.86
  4. Step 4: Simplify right side
    523.78x = 277,116.21
  5. Step 5: Solve for x
    x = 277,116.21/523.78
  6. Step 6: Final answer
    x = 529.07

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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.