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Finding the Fourth Proportional to 456.80, 684.40 and 311.81

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Solution

The fourth proportional to 456.80, 684.40 and 311.81 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.80 : 684.40 = 311.81 : x
  2. Step 2: Convert to fraction form
    456.80/684.40 = 311.81/x
  3. Step 3: Cross multiply
    456.80x = 684.40 × 311.81
  4. Step 4: Simplify right side
    456.80x = 213,402.92
  5. Step 5: Solve for x
    x = 213,402.92/456.80
  6. Step 6: Final answer
    x = 467.17

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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.