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Finding the Fourth Proportional to 842.22, 1,162.38 and 702.12

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Solution

The fourth proportional to 842.22, 1,162.38 and 702.12 is: 969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.22 : 1,162.38 = 702.12 : x
  2. Step 2: Convert to fraction form
    842.22/1,162.38 = 702.12/x
  3. Step 3: Cross multiply
    842.22x = 1,162.38 × 702.12
  4. Step 4: Simplify right side
    842.22x = 816,130.25
  5. Step 5: Solve for x
    x = 816,130.25/842.22
  6. Step 6: Final answer
    x = 969.02

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1.5x scale

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.