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Finding the Fourth Proportional to 2,289.19, 3,434.79 and 903.54

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Solution

The fourth proportional to 2,289.19, 3,434.79 and 903.54 is: 1,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.19 : 3,434.79 = 903.54 : x
  2. Step 2: Convert to fraction form
    2,289.19/3,434.79 = 903.54/x
  3. Step 3: Cross multiply
    2,289.19x = 3,434.79 × 903.54
  4. Step 4: Simplify right side
    2,289.19x = 3,103,470.16
  5. Step 5: Solve for x
    x = 3,103,470.16/2,289.19
  6. Step 6: Final answer
    x = 1,355.71

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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.