Home / 1,465.28-2,198.12-491.66

Finding the Fourth Proportional to 1,465.28, 2,198.12 and 491.66

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Solution

The fourth proportional to 1,465.28, 2,198.12 and 491.66 is: 737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.28 : 2,198.12 = 491.66 : x
  2. Step 2: Convert to fraction form
    1,465.28/2,198.12 = 491.66/x
  3. Step 3: Cross multiply
    1,465.28x = 2,198.12 × 491.66
  4. Step 4: Simplify right side
    1,465.28x = 1,080,727.68
  5. Step 5: Solve for x
    x = 1,080,727.68/1,465.28
  6. Step 6: Final answer
    x = 737.56

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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.