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Finding the Fourth Proportional to 1,431.76, 2,147.52 and 662.26

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Solution

The fourth proportional to 1,431.76, 2,147.52 and 662.26 is: 993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.76 : 2,147.52 = 662.26 : x
  2. Step 2: Convert to fraction form
    1,431.76/2,147.52 = 662.26/x
  3. Step 3: Cross multiply
    1,431.76x = 2,147.52 × 662.26
  4. Step 4: Simplify right side
    1,431.76x = 1,422,216.60
  5. Step 5: Solve for x
    x = 1,422,216.60/1,431.76
  6. Step 6: Final answer
    x = 993.33

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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.