Home / 1,219.28-1,828.49-439.13

Finding the Fourth Proportional to 1,219.28, 1,828.49 and 439.13

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Solution

The fourth proportional to 1,219.28, 1,828.49 and 439.13 is: 658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.28 : 1,828.49 = 439.13 : x
  2. Step 2: Convert to fraction form
    1,219.28/1,828.49 = 439.13/x
  3. Step 3: Cross multiply
    1,219.28x = 1,828.49 × 439.13
  4. Step 4: Simplify right side
    1,219.28x = 802,944.81
  5. Step 5: Solve for x
    x = 802,944.81/1,219.28
  6. Step 6: Final answer
    x = 658.54

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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.