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Finding the Fourth Proportional to 730.16, 1,096.14 and 622.64

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Solution

The fourth proportional to 730.16, 1,096.14 and 622.64 is: 934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.16 : 1,096.14 = 622.64 : x
  2. Step 2: Convert to fraction form
    730.16/1,096.14 = 622.64/x
  3. Step 3: Cross multiply
    730.16x = 1,096.14 × 622.64
  4. Step 4: Simplify right side
    730.16x = 682,500.61
  5. Step 5: Solve for x
    x = 682,500.61/730.16
  6. Step 6: Final answer
    x = 934.73

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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.