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Finding the Fourth Proportional to 506.65, 757.81 and 311.17

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Solution

The fourth proportional to 506.65, 757.81 and 311.17 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 757.81 = 311.17 : x
  2. Step 2: Convert to fraction form
    506.65/757.81 = 311.17/x
  3. Step 3: Cross multiply
    506.65x = 757.81 × 311.17
  4. Step 4: Simplify right side
    506.65x = 235,803.17
  5. Step 5: Solve for x
    x = 235,803.17/506.65
  6. Step 6: Final answer
    x = 465.42

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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.