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Finding the Fourth Proportional to 641.03, 884.71 and 419.59

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Solution

The fourth proportional to 641.03, 884.71 and 419.59 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.03 : 884.71 = 419.59 : x
  2. Step 2: Convert to fraction form
    641.03/884.71 = 419.59/x
  3. Step 3: Cross multiply
    641.03x = 884.71 × 419.59
  4. Step 4: Simplify right side
    641.03x = 371,217.10
  5. Step 5: Solve for x
    x = 371,217.10/641.03
  6. Step 6: Final answer
    x = 579.10

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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.