Home / 1,219.19-1,828.82-353.50

Finding the Fourth Proportional to 1,219.19, 1,828.82 and 353.50

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Solution

The fourth proportional to 1,219.19, 1,828.82 and 353.50 is: 530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.19 : 1,828.82 = 353.50 : x
  2. Step 2: Convert to fraction form
    1,219.19/1,828.82 = 353.50/x
  3. Step 3: Cross multiply
    1,219.19x = 1,828.82 × 353.50
  4. Step 4: Simplify right side
    1,219.19x = 646,487.87
  5. Step 5: Solve for x
    x = 646,487.87/1,219.19
  6. Step 6: Final answer
    x = 530.26

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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.