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Finding the Fourth Proportional to 640.53, 960.13 and 409.58

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Solution

The fourth proportional to 640.53, 960.13 and 409.58 is: 613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.53 : 960.13 = 409.58 : x
  2. Step 2: Convert to fraction form
    640.53/960.13 = 409.58/x
  3. Step 3: Cross multiply
    640.53x = 960.13 × 409.58
  4. Step 4: Simplify right side
    640.53x = 393,250.05
  5. Step 5: Solve for x
    x = 393,250.05/640.53
  6. Step 6: Final answer
    x = 613.94

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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.