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Finding the Fourth Proportional to 886.28, 1,330.92 and 546.44

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Solution

The fourth proportional to 886.28, 1,330.92 and 546.44 is: 820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.28 : 1,330.92 = 546.44 : x
  2. Step 2: Convert to fraction form
    886.28/1,330.92 = 546.44/x
  3. Step 3: Cross multiply
    886.28x = 1,330.92 × 546.44
  4. Step 4: Simplify right side
    886.28x = 727,267.92
  5. Step 5: Solve for x
    x = 727,267.92/886.28
  6. Step 6: Final answer
    x = 820.58

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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.