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Finding the Fourth Proportional to 1,147.10, 1,720.63 and 281.42

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Solution

The fourth proportional to 1,147.10, 1,720.63 and 281.42 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.10 : 1,720.63 = 281.42 : x
  2. Step 2: Convert to fraction form
    1,147.10/1,720.63 = 281.42/x
  3. Step 3: Cross multiply
    1,147.10x = 1,720.63 × 281.42
  4. Step 4: Simplify right side
    1,147.10x = 484,219.69
  5. Step 5: Solve for x
    x = 484,219.69/1,147.10
  6. Step 6: Final answer
    x = 422.13

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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.