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Finding the Fourth Proportional to 640.74, 960.90 and 316.33

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Solution

The fourth proportional to 640.74, 960.90 and 316.33 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.74 : 960.90 = 316.33 : x
  2. Step 2: Convert to fraction form
    640.74/960.90 = 316.33/x
  3. Step 3: Cross multiply
    640.74x = 960.90 × 316.33
  4. Step 4: Simplify right side
    640.74x = 303,961.50
  5. Step 5: Solve for x
    x = 303,961.50/640.74
  6. Step 6: Final answer
    x = 474.39

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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.