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Finding the Fourth Proportional to 730.70, 1,008.78 and 481.93

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Solution

The fourth proportional to 730.70, 1,008.78 and 481.93 is: 665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.70 : 1,008.78 = 481.93 : x
  2. Step 2: Convert to fraction form
    730.70/1,008.78 = 481.93/x
  3. Step 3: Cross multiply
    730.70x = 1,008.78 × 481.93
  4. Step 4: Simplify right side
    730.70x = 486,161.35
  5. Step 5: Solve for x
    x = 486,161.35/730.70
  6. Step 6: Final answer
    x = 665.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.