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Finding the Fourth Proportional to 2,065.07, 3,097 and 603.73

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Solution

The fourth proportional to 2,065.07, 3,097 and 603.73 is: 905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.07 : 3,097 = 603.73 : x
  2. Step 2: Convert to fraction form
    2,065.07/3,097 = 603.73/x
  3. Step 3: Cross multiply
    2,065.07x = 3,097 × 603.73
  4. Step 4: Simplify right side
    2,065.07x = 1,869,751.81
  5. Step 5: Solve for x
    x = 1,869,751.81/2,065.07
  6. Step 6: Final answer
    x = 905.42

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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.