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Finding the Fourth Proportional to 633.09, 948.61 and 546.21

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Solution

The fourth proportional to 633.09, 948.61 and 546.21 is: 818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 948.61 = 546.21 : x
  2. Step 2: Convert to fraction form
    633.09/948.61 = 546.21/x
  3. Step 3: Cross multiply
    633.09x = 948.61 × 546.21
  4. Step 4: Simplify right side
    633.09x = 518,138.90
  5. Step 5: Solve for x
    x = 518,138.90/633.09
  6. Step 6: Final answer
    x = 818.43

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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.