Home / 1,465.31-2,198.27-491.42

Finding the Fourth Proportional to 1,465.31, 2,198.27 and 491.42

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Solution

The fourth proportional to 1,465.31, 2,198.27 and 491.42 is: 737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.31 : 2,198.27 = 491.42 : x
  2. Step 2: Convert to fraction form
    1,465.31/2,198.27 = 491.42/x
  3. Step 3: Cross multiply
    1,465.31x = 2,198.27 × 491.42
  4. Step 4: Simplify right side
    1,465.31x = 1,080,273.84
  5. Step 5: Solve for x
    x = 1,080,273.84/1,465.31
  6. Step 6: Final answer
    x = 737.23

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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.