Home / 1,431.96-2,147.78-458.06

Finding the Fourth Proportional to 1,431.96, 2,147.78 and 458.06

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Solution

The fourth proportional to 1,431.96, 2,147.78 and 458.06 is: 687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.96 : 2,147.78 = 458.06 : x
  2. Step 2: Convert to fraction form
    1,431.96/2,147.78 = 458.06/x
  3. Step 3: Cross multiply
    1,431.96x = 2,147.78 × 458.06
  4. Step 4: Simplify right side
    1,431.96x = 983,812.11
  5. Step 5: Solve for x
    x = 983,812.11/1,431.96
  6. Step 6: Final answer
    x = 687.04

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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.