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Finding the Fourth Proportional to 640.82, 883.75 and 475.45

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Solution

The fourth proportional to 640.82, 883.75 and 475.45 is: 655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.82 : 883.75 = 475.45 : x
  2. Step 2: Convert to fraction form
    640.82/883.75 = 475.45/x
  3. Step 3: Cross multiply
    640.82x = 883.75 × 475.45
  4. Step 4: Simplify right side
    640.82x = 420,178.94
  5. Step 5: Solve for x
    x = 420,178.94/640.82
  6. Step 6: Final answer
    x = 655.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.