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Finding the Fourth Proportional to 2,290.34, 3,434.25 and 902.96

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Solution

The fourth proportional to 2,290.34, 3,434.25 and 902.96 is: 1,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.34 : 3,434.25 = 902.96 : x
  2. Step 2: Convert to fraction form
    2,290.34/3,434.25 = 902.96/x
  3. Step 3: Cross multiply
    2,290.34x = 3,434.25 × 902.96
  4. Step 4: Simplify right side
    2,290.34x = 3,100,973.21
  5. Step 5: Solve for x
    x = 3,100,973.21/2,290.34
  6. Step 6: Final answer
    x = 1,353.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.