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Finding the Fourth Proportional to 497.98, 687.51 and 311.75

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Solution

The fourth proportional to 497.98, 687.51 and 311.75 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.98 : 687.51 = 311.75 : x
  2. Step 2: Convert to fraction form
    497.98/687.51 = 311.75/x
  3. Step 3: Cross multiply
    497.98x = 687.51 × 311.75
  4. Step 4: Simplify right side
    497.98x = 214,327.80
  5. Step 5: Solve for x
    x = 214,327.80/497.98
  6. Step 6: Final answer
    x = 430.40

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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.