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Finding the Fourth Proportional to 1,147.07, 1,720.61 and 281.38

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Solution

The fourth proportional to 1,147.07, 1,720.61 and 281.38 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.07 : 1,720.61 = 281.38 : x
  2. Step 2: Convert to fraction form
    1,147.07/1,720.61 = 281.38/x
  3. Step 3: Cross multiply
    1,147.07x = 1,720.61 × 281.38
  4. Step 4: Simplify right side
    1,147.07x = 484,135.23
  5. Step 5: Solve for x
    x = 484,135.23/1,147.07
  6. Step 6: Final answer
    x = 422.06

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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.