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Finding the Fourth Proportional to 1,165.24, 1,608 and 641.26

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Solution

The fourth proportional to 1,165.24, 1,608 and 641.26 is: 884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,608 = 641.26 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,608 = 641.26/x
  3. Step 3: Cross multiply
    1,165.24x = 1,608 × 641.26
  4. Step 4: Simplify right side
    1,165.24x = 1,031,146.08
  5. Step 5: Solve for x
    x = 1,031,146.08/1,165.24
  6. Step 6: Final answer
    x = 884.92

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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.