Home / 1,219.12-1,829.72-489.20

Finding the Fourth Proportional to 1,219.12, 1,829.72 and 489.20

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Solution

The fourth proportional to 1,219.12, 1,829.72 and 489.20 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.12 : 1,829.72 = 489.20 : x
  2. Step 2: Convert to fraction form
    1,219.12/1,829.72 = 489.20/x
  3. Step 3: Cross multiply
    1,219.12x = 1,829.72 × 489.20
  4. Step 4: Simplify right side
    1,219.12x = 895,091.10
  5. Step 5: Solve for x
    x = 895,091.10/1,219.12
  6. Step 6: Final answer
    x = 734.21

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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.