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Finding the Fourth Proportional to 497.88, 687.42 and 311.42

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Solution

The fourth proportional to 497.88, 687.42 and 311.42 is: 429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 687.42 = 311.42 : x
  2. Step 2: Convert to fraction form
    497.88/687.42 = 311.42/x
  3. Step 3: Cross multiply
    497.88x = 687.42 × 311.42
  4. Step 4: Simplify right side
    497.88x = 214,076.34
  5. Step 5: Solve for x
    x = 214,076.34/497.88
  6. Step 6: Final answer
    x = 429.98

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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.