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Finding the Fourth Proportional to 641.07, 884.20 and 392.19

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Solution

The fourth proportional to 641.07, 884.20 and 392.19 is: 540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.07 : 884.20 = 392.19 : x
  2. Step 2: Convert to fraction form
    641.07/884.20 = 392.19/x
  3. Step 3: Cross multiply
    641.07x = 884.20 × 392.19
  4. Step 4: Simplify right side
    641.07x = 346,774.40
  5. Step 5: Solve for x
    x = 346,774.40/641.07
  6. Step 6: Final answer
    x = 540.93

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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.