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Finding the Fourth Proportional to 523.46, 721.41 and 392.24

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Solution

The fourth proportional to 523.46, 721.41 and 392.24 is: 540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.46 : 721.41 = 392.24 : x
  2. Step 2: Convert to fraction form
    523.46/721.41 = 392.24/x
  3. Step 3: Cross multiply
    523.46x = 721.41 × 392.24
  4. Step 4: Simplify right side
    523.46x = 282,966.19
  5. Step 5: Solve for x
    x = 282,966.19/523.46
  6. Step 6: Final answer
    x = 540.57

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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.