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Finding the Fourth Proportional to 1,219.89, 1,830.15 and 489.96

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Solution

The fourth proportional to 1,219.89, 1,830.15 and 489.96 is: 735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.89 : 1,830.15 = 489.96 : x
  2. Step 2: Convert to fraction form
    1,219.89/1,830.15 = 489.96/x
  3. Step 3: Cross multiply
    1,219.89x = 1,830.15 × 489.96
  4. Step 4: Simplify right side
    1,219.89x = 896,700.29
  5. Step 5: Solve for x
    x = 896,700.29/1,219.89
  6. Step 6: Final answer
    x = 735.07

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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.