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Finding the Fourth Proportional to 730.80, 1,096.61 and 406.13

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Solution

The fourth proportional to 730.80, 1,096.61 and 406.13 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.80 : 1,096.61 = 406.13 : x
  2. Step 2: Convert to fraction form
    730.80/1,096.61 = 406.13/x
  3. Step 3: Cross multiply
    730.80x = 1,096.61 × 406.13
  4. Step 4: Simplify right side
    730.80x = 445,358.71
  5. Step 5: Solve for x
    x = 445,358.71/730.80
  6. Step 6: Final answer
    x = 609.41

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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.