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Finding the Fourth Proportional to 731.06, 1,097.14 and 546.42

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Solution

The fourth proportional to 731.06, 1,097.14 and 546.42 is: 820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.06 : 1,097.14 = 546.42 : x
  2. Step 2: Convert to fraction form
    731.06/1,097.14 = 546.42/x
  3. Step 3: Cross multiply
    731.06x = 1,097.14 × 546.42
  4. Step 4: Simplify right side
    731.06x = 599,499.24
  5. Step 5: Solve for x
    x = 599,499.24/731.06
  6. Step 6: Final answer
    x = 820.04

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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.