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Finding the Fourth Proportional to 641.60, 963.21 and 546.02

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Solution

The fourth proportional to 641.60, 963.21 and 546.02 is: 819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.60 : 963.21 = 546.02 : x
  2. Step 2: Convert to fraction form
    641.60/963.21 = 546.02/x
  3. Step 3: Cross multiply
    641.60x = 963.21 × 546.02
  4. Step 4: Simplify right side
    641.60x = 525,927.11
  5. Step 5: Solve for x
    x = 525,927.11/641.60
  6. Step 6: Final answer
    x = 819.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.