Home / 1,456.83-2,183.49-675.77

Finding the Fourth Proportional to 1,456.83, 2,183.49 and 675.77

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Solution

The fourth proportional to 1,456.83, 2,183.49 and 675.77 is: 1,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.83 : 2,183.49 = 675.77 : x
  2. Step 2: Convert to fraction form
    1,456.83/2,183.49 = 675.77/x
  3. Step 3: Cross multiply
    1,456.83x = 2,183.49 × 675.77
  4. Step 4: Simplify right side
    1,456.83x = 1,475,537.04
  5. Step 5: Solve for x
    x = 1,475,537.04/1,456.83
  6. Step 6: Final answer
    x = 1,012.84

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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.