Home / 1,431.89-2,147.80-458.05

Finding the Fourth Proportional to 1,431.89, 2,147.80 and 458.05

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Solution

The fourth proportional to 1,431.89, 2,147.80 and 458.05 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.89 : 2,147.80 = 458.05 : x
  2. Step 2: Convert to fraction form
    1,431.89/2,147.80 = 458.05/x
  3. Step 3: Cross multiply
    1,431.89x = 2,147.80 × 458.05
  4. Step 4: Simplify right side
    1,431.89x = 983,797.50
  5. Step 5: Solve for x
    x = 983,797.50/1,431.89
  6. Step 6: Final answer
    x = 687.06

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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.