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Finding the Fourth Proportional to 902.22, 1,354.44 and 696.90

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Solution

The fourth proportional to 902.22, 1,354.44 and 696.90 is: 1,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.22 : 1,354.44 = 696.90 : x
  2. Step 2: Convert to fraction form
    902.22/1,354.44 = 696.90/x
  3. Step 3: Cross multiply
    902.22x = 1,354.44 × 696.90
  4. Step 4: Simplify right side
    902.22x = 943,909.24
  5. Step 5: Solve for x
    x = 943,909.24/902.22
  6. Step 6: Final answer
    x = 1,046.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.