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Finding the Fourth Proportional to 506.73, 698.28 and 331.77

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Solution

The fourth proportional to 506.73, 698.28 and 331.77 is: 457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 698.28 = 331.77 : x
  2. Step 2: Convert to fraction form
    506.73/698.28 = 331.77/x
  3. Step 3: Cross multiply
    506.73x = 698.28 × 331.77
  4. Step 4: Simplify right side
    506.73x = 231,666.70
  5. Step 5: Solve for x
    x = 231,666.70/506.73
  6. Step 6: Final answer
    x = 457.18

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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.