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Finding the Fourth Proportional to 902.80, 1,348.52 and 805.60

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Solution

The fourth proportional to 902.80, 1,348.52 and 805.60 is: 1,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.80 : 1,348.52 = 805.60 : x
  2. Step 2: Convert to fraction form
    902.80/1,348.52 = 805.60/x
  3. Step 3: Cross multiply
    902.80x = 1,348.52 × 805.60
  4. Step 4: Simplify right side
    902.80x = 1,086,367.71
  5. Step 5: Solve for x
    x = 1,086,367.71/902.80
  6. Step 6: Final answer
    x = 1,203.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.