Home / 1,458.24-2,185.44-687.12

Finding the Fourth Proportional to 1,458.24, 2,185.44 and 687.12

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Solution

The fourth proportional to 1,458.24, 2,185.44 and 687.12 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.24 : 2,185.44 = 687.12 : x
  2. Step 2: Convert to fraction form
    1,458.24/2,185.44 = 687.12/x
  3. Step 3: Cross multiply
    1,458.24x = 2,185.44 × 687.12
  4. Step 4: Simplify right side
    1,458.24x = 1,501,659.53
  5. Step 5: Solve for x
    x = 1,501,659.53/1,458.24
  6. Step 6: Final answer
    x = 1,029.78

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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.