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Finding the Fourth Proportional to 607.74, 911.22 and 412.20

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Solution

The fourth proportional to 607.74, 911.22 and 412.20 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.74 : 911.22 = 412.20 : x
  2. Step 2: Convert to fraction form
    607.74/911.22 = 412.20/x
  3. Step 3: Cross multiply
    607.74x = 911.22 × 412.20
  4. Step 4: Simplify right side
    607.74x = 375,604.88
  5. Step 5: Solve for x
    x = 375,604.88/607.74
  6. Step 6: Final answer
    x = 618.04

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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.