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Finding the Fourth Proportional to 1,219.97, 1,830.03 and 489.45

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Solution

The fourth proportional to 1,219.97, 1,830.03 and 489.45 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.97 : 1,830.03 = 489.45 : x
  2. Step 2: Convert to fraction form
    1,219.97/1,830.03 = 489.45/x
  3. Step 3: Cross multiply
    1,219.97x = 1,830.03 × 489.45
  4. Step 4: Simplify right side
    1,219.97x = 895,712.19
  5. Step 5: Solve for x
    x = 895,712.19/1,219.97
  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.