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Finding the Fourth Proportional to 464.62, 697.71 and 311.53

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Solution

The fourth proportional to 464.62, 697.71 and 311.53 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 697.71 = 311.53 : x
  2. Step 2: Convert to fraction form
    464.62/697.71 = 311.53/x
  3. Step 3: Cross multiply
    464.62x = 697.71 × 311.53
  4. Step 4: Simplify right side
    464.62x = 217,357.60
  5. Step 5: Solve for x
    x = 217,357.60/464.62
  6. Step 6: Final answer
    x = 467.82

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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.