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Finding the Fourth Proportional to 1,431.64, 2,148.24 and 662.14

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Solution

The fourth proportional to 1,431.64, 2,148.24 and 662.14 is: 993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.64 : 2,148.24 = 662.14 : x
  2. Step 2: Convert to fraction form
    1,431.64/2,148.24 = 662.14/x
  3. Step 3: Cross multiply
    1,431.64x = 2,148.24 × 662.14
  4. Step 4: Simplify right side
    1,431.64x = 1,422,435.63
  5. Step 5: Solve for x
    x = 1,422,435.63/1,431.64
  6. Step 6: Final answer
    x = 993.57

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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.