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Finding the Fourth Proportional to 842.74, 1,163.52 and 577.62

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Solution

The fourth proportional to 842.74, 1,163.52 and 577.62 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.74 : 1,163.52 = 577.62 : x
  2. Step 2: Convert to fraction form
    842.74/1,163.52 = 577.62/x
  3. Step 3: Cross multiply
    842.74x = 1,163.52 × 577.62
  4. Step 4: Simplify right side
    842.74x = 672,072.42
  5. Step 5: Solve for x
    x = 672,072.42/842.74
  6. Step 6: Final answer
    x = 797.49

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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.