Home / 1,431.32-2,146.97-457.43

Finding the Fourth Proportional to 1,431.32, 2,146.97 and 457.43

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Solution

The fourth proportional to 1,431.32, 2,146.97 and 457.43 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.32 : 2,146.97 = 457.43 : x
  2. Step 2: Convert to fraction form
    1,431.32/2,146.97 = 457.43/x
  3. Step 3: Cross multiply
    1,431.32x = 2,146.97 × 457.43
  4. Step 4: Simplify right side
    1,431.32x = 982,078.90
  5. Step 5: Solve for x
    x = 982,078.90/1,431.32
  6. Step 6: Final answer
    x = 686.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.