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Finding the Fourth Proportional to 842.33, 1,161.84 and 562.41

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Solution

The fourth proportional to 842.33, 1,161.84 and 562.41 is: 775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.33 : 1,161.84 = 562.41 : x
  2. Step 2: Convert to fraction form
    842.33/1,161.84 = 562.41/x
  3. Step 3: Cross multiply
    842.33x = 1,161.84 × 562.41
  4. Step 4: Simplify right side
    842.33x = 653,432.54
  5. Step 5: Solve for x
    x = 653,432.54/842.33
  6. Step 6: Final answer
    x = 775.74

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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.