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Finding the Fourth Proportional to 640.51, 961.05 and 311.27

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Solution

The fourth proportional to 640.51, 961.05 and 311.27 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.51 : 961.05 = 311.27 : x
  2. Step 2: Convert to fraction form
    640.51/961.05 = 311.27/x
  3. Step 3: Cross multiply
    640.51x = 961.05 × 311.27
  4. Step 4: Simplify right side
    640.51x = 299,140.45
  5. Step 5: Solve for x
    x = 299,140.45/640.51
  6. Step 6: Final answer
    x = 467.04

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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.