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Finding the Fourth Proportional to 456.98, 684.65 and 311.99

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Solution

The fourth proportional to 456.98, 684.65 and 311.99 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 684.65 = 311.99 : x
  2. Step 2: Convert to fraction form
    456.98/684.65 = 311.99/x
  3. Step 3: Cross multiply
    456.98x = 684.65 × 311.99
  4. Step 4: Simplify right side
    456.98x = 213,601.31
  5. Step 5: Solve for x
    x = 213,601.31/456.98
  6. Step 6: Final answer
    x = 467.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.