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Finding the Fourth Proportional to 840.48, 1,254.49 and 791.27

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Solution

The fourth proportional to 840.48, 1,254.49 and 791.27 is: 1,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.48 : 1,254.49 = 791.27 : x
  2. Step 2: Convert to fraction form
    840.48/1,254.49 = 791.27/x
  3. Step 3: Cross multiply
    840.48x = 1,254.49 × 791.27
  4. Step 4: Simplify right side
    840.48x = 992,636.76
  5. Step 5: Solve for x
    x = 992,636.76/840.48
  6. Step 6: Final answer
    x = 1,181.04

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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.