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Finding the Fourth Proportional to 1,147.33, 1,721.01 and 281.64

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Solution

The fourth proportional to 1,147.33, 1,721.01 and 281.64 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.33 : 1,721.01 = 281.64 : x
  2. Step 2: Convert to fraction form
    1,147.33/1,721.01 = 281.64/x
  3. Step 3: Cross multiply
    1,147.33x = 1,721.01 × 281.64
  4. Step 4: Simplify right side
    1,147.33x = 484,712.77
  5. Step 5: Solve for x
    x = 484,712.77/1,147.33
  6. Step 6: Final answer
    x = 422.47

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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.