Home / 1,219.16-1,828.77-397.48

Finding the Fourth Proportional to 1,219.16, 1,828.77 and 397.48

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Solution

The fourth proportional to 1,219.16, 1,828.77 and 397.48 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.16 : 1,828.77 = 397.48 : x
  2. Step 2: Convert to fraction form
    1,219.16/1,828.77 = 397.48/x
  3. Step 3: Cross multiply
    1,219.16x = 1,828.77 × 397.48
  4. Step 4: Simplify right side
    1,219.16x = 726,888.37
  5. Step 5: Solve for x
    x = 726,888.37/1,219.16
  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.