Home / 1,219.08-1,828.19-397.16

Finding the Fourth Proportional to 1,219.08, 1,828.19 and 397.16

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Solution

The fourth proportional to 1,219.08, 1,828.19 and 397.16 is: 595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.08 : 1,828.19 = 397.16 : x
  2. Step 2: Convert to fraction form
    1,219.08/1,828.19 = 397.16/x
  3. Step 3: Cross multiply
    1,219.08x = 1,828.19 × 397.16
  4. Step 4: Simplify right side
    1,219.08x = 726,072.81
  5. Step 5: Solve for x
    x = 726,072.81/1,219.08
  6. Step 6: Final answer
    x = 595.59

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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.