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Finding the Fourth Proportional to 640.31, 958.64 and 517.32

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Solution

The fourth proportional to 640.31, 958.64 and 517.32 is: 774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.31 : 958.64 = 517.32 : x
  2. Step 2: Convert to fraction form
    640.31/958.64 = 517.32/x
  3. Step 3: Cross multiply
    640.31x = 958.64 × 517.32
  4. Step 4: Simplify right side
    640.31x = 495,921.06
  5. Step 5: Solve for x
    x = 495,921.06/640.31
  6. Step 6: Final answer
    x = 774.51

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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.