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Finding the Fourth Proportional to 730.85, 1,101.16 and 661.53

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Solution

The fourth proportional to 730.85, 1,101.16 and 661.53 is: 996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,101.16 = 661.53 : x
  2. Step 2: Convert to fraction form
    730.85/1,101.16 = 661.53/x
  3. Step 3: Cross multiply
    730.85x = 1,101.16 × 661.53
  4. Step 4: Simplify right side
    730.85x = 728,450.37
  5. Step 5: Solve for x
    x = 728,450.37/730.85
  6. Step 6: Final answer
    x = 996.72

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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.