Home / 1,219.24-1,828.96-353.52

Finding the Fourth Proportional to 1,219.24, 1,828.96 and 353.52

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Solution

The fourth proportional to 1,219.24, 1,828.96 and 353.52 is: 530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.24 : 1,828.96 = 353.52 : x
  2. Step 2: Convert to fraction form
    1,219.24/1,828.96 = 353.52/x
  3. Step 3: Cross multiply
    1,219.24x = 1,828.96 × 353.52
  4. Step 4: Simplify right side
    1,219.24x = 646,573.94
  5. Step 5: Solve for x
    x = 646,573.94/1,219.24
  6. Step 6: Final answer
    x = 530.31

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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.