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Finding the Fourth Proportional to 730.28, 1,091.45 and 628.20

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Solution

The fourth proportional to 730.28, 1,091.45 and 628.20 is: 938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.28 : 1,091.45 = 628.20 : x
  2. Step 2: Convert to fraction form
    730.28/1,091.45 = 628.20/x
  3. Step 3: Cross multiply
    730.28x = 1,091.45 × 628.20
  4. Step 4: Simplify right side
    730.28x = 685,648.89
  5. Step 5: Solve for x
    x = 685,648.89/730.28
  6. Step 6: Final answer
    x = 938.88

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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.