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Finding the Fourth Proportional to 523.52, 722.94 and 392.30

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Solution

The fourth proportional to 523.52, 722.94 and 392.30 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 722.94 = 392.30 : x
  2. Step 2: Convert to fraction form
    523.52/722.94 = 392.30/x
  3. Step 3: Cross multiply
    523.52x = 722.94 × 392.30
  4. Step 4: Simplify right side
    523.52x = 283,609.36
  5. Step 5: Solve for x
    x = 283,609.36/523.52
  6. Step 6: Final answer
    x = 541.74

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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.