Home / 1,215.92-1,823.68-394.08

Finding the Fourth Proportional to 1,215.92, 1,823.68 and 394.08

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Solution

The fourth proportional to 1,215.92, 1,823.68 and 394.08 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.92 : 1,823.68 = 394.08 : x
  2. Step 2: Convert to fraction form
    1,215.92/1,823.68 = 394.08/x
  3. Step 3: Cross multiply
    1,215.92x = 1,823.68 × 394.08
  4. Step 4: Simplify right side
    1,215.92x = 718,669.47
  5. Step 5: Solve for x
    x = 718,669.47/1,215.92
  6. Step 6: Final answer
    x = 591.05

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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.