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Finding the Fourth Proportional to 641.44, 884.32 and 434.08

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Solution

The fourth proportional to 641.44, 884.32 and 434.08 is: 598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 884.32 = 434.08 : x
  2. Step 2: Convert to fraction form
    641.44/884.32 = 434.08/x
  3. Step 3: Cross multiply
    641.44x = 884.32 × 434.08
  4. Step 4: Simplify right side
    641.44x = 383,865.63
  5. Step 5: Solve for x
    x = 383,865.63/641.44
  6. Step 6: Final answer
    x = 598.44

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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.