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Finding the Fourth Proportional to 506.49, 760.38 and 324.69

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Solution

The fourth proportional to 506.49, 760.38 and 324.69 is: 487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 760.38 = 324.69 : x
  2. Step 2: Convert to fraction form
    506.49/760.38 = 324.69/x
  3. Step 3: Cross multiply
    506.49x = 760.38 × 324.69
  4. Step 4: Simplify right side
    506.49x = 246,887.78
  5. Step 5: Solve for x
    x = 246,887.78/506.49
  6. Step 6: Final answer
    x = 487.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.