Home / 1,219.32-1,829.25-353.70

Finding the Fourth Proportional to 1,219.32, 1,829.25 and 353.70

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Solution

The fourth proportional to 1,219.32, 1,829.25 and 353.70 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.32 : 1,829.25 = 353.70 : x
  2. Step 2: Convert to fraction form
    1,219.32/1,829.25 = 353.70/x
  3. Step 3: Cross multiply
    1,219.32x = 1,829.25 × 353.70
  4. Step 4: Simplify right side
    1,219.32x = 647,005.73
  5. Step 5: Solve for x
    x = 647,005.73/1,219.32
  6. Step 6: Final answer
    x = 530.63

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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.