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Finding the Fourth Proportional to 523.54, 722.97 and 392.32

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Solution

The fourth proportional to 523.54, 722.97 and 392.32 is: 541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 722.97 = 392.32 : x
  2. Step 2: Convert to fraction form
    523.54/722.97 = 392.32/x
  3. Step 3: Cross multiply
    523.54x = 722.97 × 392.32
  4. Step 4: Simplify right side
    523.54x = 283,630.01
  5. Step 5: Solve for x
    x = 283,630.01/523.54
  6. Step 6: Final answer
    x = 541.76

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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.