Home / 1,219.68-1,829.66-397.95

Finding the Fourth Proportional to 1,219.68, 1,829.66 and 397.95

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Solution

The fourth proportional to 1,219.68, 1,829.66 and 397.95 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,829.66 = 397.95 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,829.66 = 397.95/x
  3. Step 3: Cross multiply
    1,219.68x = 1,829.66 × 397.95
  4. Step 4: Simplify right side
    1,219.68x = 728,111.21
  5. Step 5: Solve for x
    x = 728,111.21/1,219.68
  6. Step 6: Final answer
    x = 596.97

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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.