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Finding the Fourth Proportional to 1,147.14, 1,720.71 and 281.46

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Solution

The fourth proportional to 1,147.14, 1,720.71 and 281.46 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.14 : 1,720.71 = 281.46 : x
  2. Step 2: Convert to fraction form
    1,147.14/1,720.71 = 281.46/x
  3. Step 3: Cross multiply
    1,147.14x = 1,720.71 × 281.46
  4. Step 4: Simplify right side
    1,147.14x = 484,311.04
  5. Step 5: Solve for x
    x = 484,311.04/1,147.14
  6. Step 6: Final answer
    x = 422.19

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