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Finding the Fourth Proportional to 1,279.90, 1,766.31 and 720.48

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Solution

The fourth proportional to 1,279.90, 1,766.31 and 720.48 is: 994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.90 : 1,766.31 = 720.48 : x
  2. Step 2: Convert to fraction form
    1,279.90/1,766.31 = 720.48/x
  3. Step 3: Cross multiply
    1,279.90x = 1,766.31 × 720.48
  4. Step 4: Simplify right side
    1,279.90x = 1,272,585.02
  5. Step 5: Solve for x
    x = 1,272,585.02/1,279.90
  6. Step 6: Final answer
    x = 994.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.