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Finding the Fourth Proportional to 2,065.02, 3,096.99 and 603.78

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Solution

The fourth proportional to 2,065.02, 3,096.99 and 603.78 is: 905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.02 : 3,096.99 = 603.78 : x
  2. Step 2: Convert to fraction form
    2,065.02/3,096.99 = 603.78/x
  3. Step 3: Cross multiply
    2,065.02x = 3,096.99 × 603.78
  4. Step 4: Simplify right side
    2,065.02x = 1,869,900.62
  5. Step 5: Solve for x
    x = 1,869,900.62/2,065.02
  6. Step 6: Final answer
    x = 905.51

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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.