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Finding the Fourth Proportional to 465.96, 697.72 and 311.64

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Solution

The fourth proportional to 465.96, 697.72 and 311.64 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 697.72 = 311.64 : x
  2. Step 2: Convert to fraction form
    465.96/697.72 = 311.64/x
  3. Step 3: Cross multiply
    465.96x = 697.72 × 311.64
  4. Step 4: Simplify right side
    465.96x = 217,437.46
  5. Step 5: Solve for x
    x = 217,437.46/465.96
  6. Step 6: Final answer
    x = 466.64

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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.