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Finding the Fourth Proportional to 730.86, 1,100.22 and 666.26

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Solution

The fourth proportional to 730.86, 1,100.22 and 666.26 is: 1,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,100.22 = 666.26 : x
  2. Step 2: Convert to fraction form
    730.86/1,100.22 = 666.26/x
  3. Step 3: Cross multiply
    730.86x = 1,100.22 × 666.26
  4. Step 4: Simplify right side
    730.86x = 733,028.70
  5. Step 5: Solve for x
    x = 733,028.70/730.86
  6. Step 6: Final answer
    x = 1,002.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.