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Finding the Fourth Proportional to 641.32, 884.71 and 392.21

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Solution

The fourth proportional to 641.32, 884.71 and 392.21 is: 541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.32 : 884.71 = 392.21 : x
  2. Step 2: Convert to fraction form
    641.32/884.71 = 392.21/x
  3. Step 3: Cross multiply
    641.32x = 884.71 × 392.21
  4. Step 4: Simplify right side
    641.32x = 346,990.01
  5. Step 5: Solve for x
    x = 346,990.01/641.32
  6. Step 6: Final answer
    x = 541.06

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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.