Home / 1,282.25-1,923.75-460.59

Finding the Fourth Proportional to 1,282.25, 1,923.75 and 460.59

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Solution

The fourth proportional to 1,282.25, 1,923.75 and 460.59 is: 691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.25 : 1,923.75 = 460.59 : x
  2. Step 2: Convert to fraction form
    1,282.25/1,923.75 = 460.59/x
  3. Step 3: Cross multiply
    1,282.25x = 1,923.75 × 460.59
  4. Step 4: Simplify right side
    1,282.25x = 886,060.01
  5. Step 5: Solve for x
    x = 886,060.01/1,282.25
  6. Step 6: Final answer
    x = 691.02

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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.