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Finding the Fourth Proportional to 506.22, 700.78 and 462.48

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Solution

The fourth proportional to 506.22, 700.78 and 462.48 is: 640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.22 : 700.78 = 462.48 : x
  2. Step 2: Convert to fraction form
    506.22/700.78 = 462.48/x
  3. Step 3: Cross multiply
    506.22x = 700.78 × 462.48
  4. Step 4: Simplify right side
    506.22x = 324,096.73
  5. Step 5: Solve for x
    x = 324,096.73/506.22
  6. Step 6: Final answer
    x = 640.23

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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.