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Finding the Fourth Proportional to 843.35, 1,163.82 and 595.10

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Solution

The fourth proportional to 843.35, 1,163.82 and 595.10 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.35 : 1,163.82 = 595.10 : x
  2. Step 2: Convert to fraction form
    843.35/1,163.82 = 595.10/x
  3. Step 3: Cross multiply
    843.35x = 1,163.82 × 595.10
  4. Step 4: Simplify right side
    843.35x = 692,595.78
  5. Step 5: Solve for x
    x = 692,595.78/843.35
  6. Step 6: Final answer
    x = 821.24

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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.