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Finding the Fourth Proportional to 1,097.37, 1,652.48 and 791.34

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Solution

The fourth proportional to 1,097.37, 1,652.48 and 791.34 is: 1,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.37 : 1,652.48 = 791.34 : x
  2. Step 2: Convert to fraction form
    1,097.37/1,652.48 = 791.34/x
  3. Step 3: Cross multiply
    1,097.37x = 1,652.48 × 791.34
  4. Step 4: Simplify right side
    1,097.37x = 1,307,673.52
  5. Step 5: Solve for x
    x = 1,307,673.52/1,097.37
  6. Step 6: Final answer
    x = 1,191.64

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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.