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Finding the Fourth Proportional to 1,219.75, 1,830.66 and 489.82

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Solution

The fourth proportional to 1,219.75, 1,830.66 and 489.82 is: 735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.75 : 1,830.66 = 489.82 : x
  2. Step 2: Convert to fraction form
    1,219.75/1,830.66 = 489.82/x
  3. Step 3: Cross multiply
    1,219.75x = 1,830.66 × 489.82
  4. Step 4: Simplify right side
    1,219.75x = 896,693.88
  5. Step 5: Solve for x
    x = 896,693.88/1,219.75
  6. Step 6: Final answer
    x = 735.15

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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.