Home / 1,219.15-1,828.86-397.45

Finding the Fourth Proportional to 1,219.15, 1,828.86 and 397.45

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Solution

The fourth proportional to 1,219.15, 1,828.86 and 397.45 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.15 : 1,828.86 = 397.45 : x
  2. Step 2: Convert to fraction form
    1,219.15/1,828.86 = 397.45/x
  3. Step 3: Cross multiply
    1,219.15x = 1,828.86 × 397.45
  4. Step 4: Simplify right side
    1,219.15x = 726,880.41
  5. Step 5: Solve for x
    x = 726,880.41/1,219.15
  6. Step 6: Final answer
    x = 596.22

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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.