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Finding the Fourth Proportional to 523.79, 723.31 and 392.57

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Solution

The fourth proportional to 523.79, 723.31 and 392.57 is: 542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.79 : 723.31 = 392.57 : x
  2. Step 2: Convert to fraction form
    523.79/723.31 = 392.57/x
  3. Step 3: Cross multiply
    523.79x = 723.31 × 392.57
  4. Step 4: Simplify right side
    523.79x = 283,945.21
  5. Step 5: Solve for x
    x = 283,945.21/523.79
  6. Step 6: Final answer
    x = 542.10

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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.