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Finding the Fourth Proportional to 497.06, 685.79 and 331.31

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Solution

The fourth proportional to 497.06, 685.79 and 331.31 is: 457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 685.79 = 331.31 : x
  2. Step 2: Convert to fraction form
    497.06/685.79 = 331.31/x
  3. Step 3: Cross multiply
    497.06x = 685.79 × 331.31
  4. Step 4: Simplify right side
    497.06x = 227,204.00
  5. Step 5: Solve for x
    x = 227,204.00/497.06
  6. Step 6: Final answer
    x = 457.10

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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.