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Finding the Fourth Proportional to 641.07, 884.09 and 475.70

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Solution

The fourth proportional to 641.07, 884.09 and 475.70 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.07 : 884.09 = 475.70 : x
  2. Step 2: Convert to fraction form
    641.07/884.09 = 475.70/x
  3. Step 3: Cross multiply
    641.07x = 884.09 × 475.70
  4. Step 4: Simplify right side
    641.07x = 420,554.81
  5. Step 5: Solve for x
    x = 420,554.81/641.07
  6. Step 6: Final answer
    x = 656.02

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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.