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Finding the Fourth Proportional to 864.61, 1,193.01 and 820.82

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Solution

The fourth proportional to 864.61, 1,193.01 and 820.82 is: 1,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.61 : 1,193.01 = 820.82 : x
  2. Step 2: Convert to fraction form
    864.61/1,193.01 = 820.82/x
  3. Step 3: Cross multiply
    864.61x = 1,193.01 × 820.82
  4. Step 4: Simplify right side
    864.61x = 979,249.45
  5. Step 5: Solve for x
    x = 979,249.45/864.61
  6. Step 6: Final answer
    x = 1,132.59

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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.