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Finding the Fourth Proportional to 641.97, 884.57 and 434.61

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Solution

The fourth proportional to 641.97, 884.57 and 434.61 is: 598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 884.57 = 434.61 : x
  2. Step 2: Convert to fraction form
    641.97/884.57 = 434.61/x
  3. Step 3: Cross multiply
    641.97x = 884.57 × 434.61
  4. Step 4: Simplify right side
    641.97x = 384,440.79
  5. Step 5: Solve for x
    x = 384,440.79/641.97
  6. Step 6: Final answer
    x = 598.85

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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.