Home / 1,465.23-2,198.66-816.33

Finding the Fourth Proportional to 1,465.23, 2,198.66 and 816.33

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Solution

The fourth proportional to 1,465.23, 2,198.66 and 816.33 is: 1,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.23 : 2,198.66 = 816.33 : x
  2. Step 2: Convert to fraction form
    1,465.23/2,198.66 = 816.33/x
  3. Step 3: Cross multiply
    1,465.23x = 2,198.66 × 816.33
  4. Step 4: Simplify right side
    1,465.23x = 1,794,828.04
  5. Step 5: Solve for x
    x = 1,794,828.04/1,465.23
  6. Step 6: Final answer
    x = 1,224.95

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1.5x scale

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.