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Finding the Fourth Proportional to 520.72, 718.56 and 324.23

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Solution

The fourth proportional to 520.72, 718.56 and 324.23 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 718.56 = 324.23 : x
  2. Step 2: Convert to fraction form
    520.72/718.56 = 324.23/x
  3. Step 3: Cross multiply
    520.72x = 718.56 × 324.23
  4. Step 4: Simplify right side
    520.72x = 232,978.71
  5. Step 5: Solve for x
    x = 232,978.71/520.72
  6. Step 6: Final answer
    x = 447.42

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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.