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Finding the Fourth Proportional to 902.33, 1,245.68 and 682.21

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Solution

The fourth proportional to 902.33, 1,245.68 and 682.21 is: 941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.33 : 1,245.68 = 682.21 : x
  2. Step 2: Convert to fraction form
    902.33/1,245.68 = 682.21/x
  3. Step 3: Cross multiply
    902.33x = 1,245.68 × 682.21
  4. Step 4: Simplify right side
    902.33x = 849,815.35
  5. Step 5: Solve for x
    x = 849,815.35/902.33
  6. Step 6: Final answer
    x = 941.80

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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.