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Finding the Fourth Proportional to 910.28, 1,366.82 and 546.68

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Solution

The fourth proportional to 910.28, 1,366.82 and 546.68 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.28 : 1,366.82 = 546.68 : x
  2. Step 2: Convert to fraction form
    910.28/1,366.82 = 546.68/x
  3. Step 3: Cross multiply
    910.28x = 1,366.82 × 546.68
  4. Step 4: Simplify right side
    910.28x = 747,213.16
  5. Step 5: Solve for x
    x = 747,213.16/910.28
  6. Step 6: Final answer
    x = 820.86

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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.