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Finding the Fourth Proportional to 640.76, 960.48 and 421.52

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Solution

The fourth proportional to 640.76, 960.48 and 421.52 is: 631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.76 : 960.48 = 421.52 : x
  2. Step 2: Convert to fraction form
    640.76/960.48 = 421.52/x
  3. Step 3: Cross multiply
    640.76x = 960.48 × 421.52
  4. Step 4: Simplify right side
    640.76x = 404,861.53
  5. Step 5: Solve for x
    x = 404,861.53/640.76
  6. Step 6: Final answer
    x = 631.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.