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Finding the Fourth Proportional to 730.85, 1,100.24 and 655.50

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Solution

The fourth proportional to 730.85, 1,100.24 and 655.50 is: 986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,100.24 = 655.50 : x
  2. Step 2: Convert to fraction form
    730.85/1,100.24 = 655.50/x
  3. Step 3: Cross multiply
    730.85x = 1,100.24 × 655.50
  4. Step 4: Simplify right side
    730.85x = 721,204.04
  5. Step 5: Solve for x
    x = 721,204.04/730.85
  6. Step 6: Final answer
    x = 986.81

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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.