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Finding the Fourth Proportional to 2,290.96, 3,434.91 and 903.43

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Solution

The fourth proportional to 2,290.96, 3,434.91 and 903.43 is: 1,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.96 : 3,434.91 = 903.43 : x
  2. Step 2: Convert to fraction form
    2,290.96/3,434.91 = 903.43/x
  3. Step 3: Cross multiply
    2,290.96x = 3,434.91 × 903.43
  4. Step 4: Simplify right side
    2,290.96x = 3,103,200.74
  5. Step 5: Solve for x
    x = 3,103,200.74/2,290.96
  6. Step 6: Final answer
    x = 1,354.54

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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.