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Finding the Fourth Proportional to 523.95, 723.51 and 327.80

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Solution

The fourth proportional to 523.95, 723.51 and 327.80 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 723.51 = 327.80 : x
  2. Step 2: Convert to fraction form
    523.95/723.51 = 327.80/x
  3. Step 3: Cross multiply
    523.95x = 723.51 × 327.80
  4. Step 4: Simplify right side
    523.95x = 237,162.96
  5. Step 5: Solve for x
    x = 237,162.96/523.95
  6. Step 6: Final answer
    x = 452.64

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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.