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Finding the Fourth Proportional to 729.08, 1,094.15 and 546.96

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Solution

The fourth proportional to 729.08, 1,094.15 and 546.96 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.08 : 1,094.15 = 546.96 : x
  2. Step 2: Convert to fraction form
    729.08/1,094.15 = 546.96/x
  3. Step 3: Cross multiply
    729.08x = 1,094.15 × 546.96
  4. Step 4: Simplify right side
    729.08x = 598,461.75
  5. Step 5: Solve for x
    x = 598,461.75/729.08
  6. Step 6: Final answer
    x = 820.85

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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.