Home / 1,449.23-2,000.24-819.77

Finding the Fourth Proportional to 1,449.23, 2,000.24 and 819.77

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Solution

The fourth proportional to 1,449.23, 2,000.24 and 819.77 is: 1,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.23 : 2,000.24 = 819.77 : x
  2. Step 2: Convert to fraction form
    1,449.23/2,000.24 = 819.77/x
  3. Step 3: Cross multiply
    1,449.23x = 2,000.24 × 819.77
  4. Step 4: Simplify right side
    1,449.23x = 1,639,737.65
  5. Step 5: Solve for x
    x = 1,639,737.65/1,449.23
  6. Step 6: Final answer
    x = 1,131.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.