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Finding the Fourth Proportional to 2,290.31, 3,436.87 and 903.41

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Solution

The fourth proportional to 2,290.31, 3,436.87 and 903.41 is: 1,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.31 : 3,436.87 = 903.41 : x
  2. Step 2: Convert to fraction form
    2,290.31/3,436.87 = 903.41/x
  3. Step 3: Cross multiply
    2,290.31x = 3,436.87 × 903.41
  4. Step 4: Simplify right side
    2,290.31x = 3,104,883.28
  5. Step 5: Solve for x
    x = 3,104,883.28/2,290.31
  6. Step 6: Final answer
    x = 1,355.66

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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.