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Finding the Fourth Proportional to 730.45, 1,086.90 and 728.02

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Solution

The fourth proportional to 730.45, 1,086.90 and 728.02 is: 1,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.45 : 1,086.90 = 728.02 : x
  2. Step 2: Convert to fraction form
    730.45/1,086.90 = 728.02/x
  3. Step 3: Cross multiply
    730.45x = 1,086.90 × 728.02
  4. Step 4: Simplify right side
    730.45x = 791,284.94
  5. Step 5: Solve for x
    x = 791,284.94/730.45
  6. Step 6: Final answer
    x = 1,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.