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Finding the Fourth Proportional to 497.93, 687.11 and 331.98

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Solution

The fourth proportional to 497.93, 687.11 and 331.98 is: 458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.93 : 687.11 = 331.98 : x
  2. Step 2: Convert to fraction form
    497.93/687.11 = 331.98/x
  3. Step 3: Cross multiply
    497.93x = 687.11 × 331.98
  4. Step 4: Simplify right side
    497.93x = 228,106.78
  5. Step 5: Solve for x
    x = 228,106.78/497.93
  6. Step 6: Final answer
    x = 458.11

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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.