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Finding the Fourth Proportional to 641.03, 884.16 and 588.74

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Solution

The fourth proportional to 641.03, 884.16 and 588.74 is: 812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.03 : 884.16 = 588.74 : x
  2. Step 2: Convert to fraction form
    641.03/884.16 = 588.74/x
  3. Step 3: Cross multiply
    641.03x = 884.16 × 588.74
  4. Step 4: Simplify right side
    641.03x = 520,540.36
  5. Step 5: Solve for x
    x = 520,540.36/641.03
  6. Step 6: Final answer
    x = 812.04

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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.