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Finding the Fourth Proportional to 640.02, 958.47 and 445.22

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Solution

The fourth proportional to 640.02, 958.47 and 445.22 is: 666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.02 : 958.47 = 445.22 : x
  2. Step 2: Convert to fraction form
    640.02/958.47 = 445.22/x
  3. Step 3: Cross multiply
    640.02x = 958.47 × 445.22
  4. Step 4: Simplify right side
    640.02x = 426,725.22
  5. Step 5: Solve for x
    x = 426,725.22/640.02
  6. Step 6: Final answer
    x = 666.74

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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.