Home / 1,216.02-1,823.84-394.18

Finding the Fourth Proportional to 1,216.02, 1,823.84 and 394.18

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Solution

The fourth proportional to 1,216.02, 1,823.84 and 394.18 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.02 : 1,823.84 = 394.18 : x
  2. Step 2: Convert to fraction form
    1,216.02/1,823.84 = 394.18/x
  3. Step 3: Cross multiply
    1,216.02x = 1,823.84 × 394.18
  4. Step 4: Simplify right side
    1,216.02x = 718,921.25
  5. Step 5: Solve for x
    x = 718,921.25/1,216.02
  6. Step 6: Final answer
    x = 591.21

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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.