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Finding the Fourth Proportional to 1,453.02, 2,179.17 and 631.02

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Solution

The fourth proportional to 1,453.02, 2,179.17 and 631.02 is: 946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.02 : 2,179.17 = 631.02 : x
  2. Step 2: Convert to fraction form
    1,453.02/2,179.17 = 631.02/x
  3. Step 3: Cross multiply
    1,453.02x = 2,179.17 × 631.02
  4. Step 4: Simplify right side
    1,453.02x = 1,375,099.85
  5. Step 5: Solve for x
    x = 1,375,099.85/1,453.02
  6. Step 6: Final answer
    x = 946.37

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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.