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Finding the Fourth Proportional to 791.10, 1,091.51 and 480.54

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Solution

The fourth proportional to 791.10, 1,091.51 and 480.54 is: 663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.10 : 1,091.51 = 480.54 : x
  2. Step 2: Convert to fraction form
    791.10/1,091.51 = 480.54/x
  3. Step 3: Cross multiply
    791.10x = 1,091.51 × 480.54
  4. Step 4: Simplify right side
    791.10x = 524,514.22
  5. Step 5: Solve for x
    x = 524,514.22/791.10
  6. Step 6: Final answer
    x = 663.02

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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.