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Finding the Fourth Proportional to 500.13, 689.72 and 331.79

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Solution

The fourth proportional to 500.13, 689.72 and 331.79 is: 457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 689.72 = 331.79 : x
  2. Step 2: Convert to fraction form
    500.13/689.72 = 331.79/x
  3. Step 3: Cross multiply
    500.13x = 689.72 × 331.79
  4. Step 4: Simplify right side
    500.13x = 228,837.09
  5. Step 5: Solve for x
    x = 228,837.09/500.13
  6. Step 6: Final answer
    x = 457.56

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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.