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Finding the Fourth Proportional to 523.05, 721.82 and 392.13

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Solution

The fourth proportional to 523.05, 721.82 and 392.13 is: 541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 721.82 = 392.13 : x
  2. Step 2: Convert to fraction form
    523.05/721.82 = 392.13/x
  3. Step 3: Cross multiply
    523.05x = 721.82 × 392.13
  4. Step 4: Simplify right side
    523.05x = 283,045.32
  5. Step 5: Solve for x
    x = 283,045.32/523.05
  6. Step 6: Final answer
    x = 541.14

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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.