Home / 1,282.75-1,924.30-460.85

Finding the Fourth Proportional to 1,282.75, 1,924.30 and 460.85

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Solution

The fourth proportional to 1,282.75, 1,924.30 and 460.85 is: 691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.75 : 1,924.30 = 460.85 : x
  2. Step 2: Convert to fraction form
    1,282.75/1,924.30 = 460.85/x
  3. Step 3: Cross multiply
    1,282.75x = 1,924.30 × 460.85
  4. Step 4: Simplify right side
    1,282.75x = 886,813.66
  5. Step 5: Solve for x
    x = 886,813.66/1,282.75
  6. Step 6: Final answer
    x = 691.34

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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.