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Finding the Fourth Proportional to 843.30, 1,165.29 and 610.02

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Solution

The fourth proportional to 843.30, 1,165.29 and 610.02 is: 842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.30 : 1,165.29 = 610.02 : x
  2. Step 2: Convert to fraction form
    843.30/1,165.29 = 610.02/x
  3. Step 3: Cross multiply
    843.30x = 1,165.29 × 610.02
  4. Step 4: Simplify right side
    843.30x = 710,850.21
  5. Step 5: Solve for x
    x = 710,850.21/843.30
  6. Step 6: Final answer
    x = 842.94

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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.