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Finding the Fourth Proportional to 1,147.34, 1,720.98 and 281.66

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Solution

The fourth proportional to 1,147.34, 1,720.98 and 281.66 is: 422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.34 : 1,720.98 = 281.66 : x
  2. Step 2: Convert to fraction form
    1,147.34/1,720.98 = 281.66/x
  3. Step 3: Cross multiply
    1,147.34x = 1,720.98 × 281.66
  4. Step 4: Simplify right side
    1,147.34x = 484,731.23
  5. Step 5: Solve for x
    x = 484,731.23/1,147.34
  6. Step 6: Final answer
    x = 422.48

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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.