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Finding the Fourth Proportional to 2,009.29, 3,013.59 and 603.68

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Solution

The fourth proportional to 2,009.29, 3,013.59 and 603.68 is: 905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.29 : 3,013.59 = 603.68 : x
  2. Step 2: Convert to fraction form
    2,009.29/3,013.59 = 603.68/x
  3. Step 3: Cross multiply
    2,009.29x = 3,013.59 × 603.68
  4. Step 4: Simplify right side
    2,009.29x = 1,819,244.01
  5. Step 5: Solve for x
    x = 1,819,244.01/2,009.29
  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.