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Finding the Fourth Proportional to 842.02, 1,161.80 and 642.82

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Solution

The fourth proportional to 842.02, 1,161.80 and 642.82 is: 886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,161.80 = 642.82 : x
  2. Step 2: Convert to fraction form
    842.02/1,161.80 = 642.82/x
  3. Step 3: Cross multiply
    842.02x = 1,161.80 × 642.82
  4. Step 4: Simplify right side
    842.02x = 746,828.28
  5. Step 5: Solve for x
    x = 746,828.28/842.02
  6. Step 6: Final answer
    x = 886.95

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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.