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Finding the Fourth Proportional to 506.92, 763.19 and 397.81

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Solution

The fourth proportional to 506.92, 763.19 and 397.81 is: 598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 763.19 = 397.81 : x
  2. Step 2: Convert to fraction form
    506.92/763.19 = 397.81/x
  3. Step 3: Cross multiply
    506.92x = 763.19 × 397.81
  4. Step 4: Simplify right side
    506.92x = 303,604.61
  5. Step 5: Solve for x
    x = 303,604.61/506.92
  6. Step 6: Final answer
    x = 598.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.