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Finding the Fourth Proportional to 641.14, 884.93 and 392.50

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Solution

The fourth proportional to 641.14, 884.93 and 392.50 is: 541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.14 : 884.93 = 392.50 : x
  2. Step 2: Convert to fraction form
    641.14/884.93 = 392.50/x
  3. Step 3: Cross multiply
    641.14x = 884.93 × 392.50
  4. Step 4: Simplify right side
    641.14x = 347,335.03
  5. Step 5: Solve for x
    x = 347,335.03/641.14
  6. Step 6: Final answer
    x = 541.75

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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.