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Finding the Fourth Proportional to 497.44, 685.34 and 372.90

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Solution

The fourth proportional to 497.44, 685.34 and 372.90 is: 513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 685.34 = 372.90 : x
  2. Step 2: Convert to fraction form
    497.44/685.34 = 372.90/x
  3. Step 3: Cross multiply
    497.44x = 685.34 × 372.90
  4. Step 4: Simplify right side
    497.44x = 255,563.29
  5. Step 5: Solve for x
    x = 255,563.29/497.44
  6. Step 6: Final answer
    x = 513.76

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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.