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Finding the Fourth Proportional to 1,551.72, 2,327.22 and 903

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Solution

The fourth proportional to 1,551.72, 2,327.22 and 903 is: 1,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.72 : 2,327.22 = 903 : x
  2. Step 2: Convert to fraction form
    1,551.72/2,327.22 = 903/x
  3. Step 3: Cross multiply
    1,551.72x = 2,327.22 × 903
  4. Step 4: Simplify right side
    1,551.72x = 2,101,479.66
  5. Step 5: Solve for x
    x = 2,101,479.66/1,551.72
  6. Step 6: Final answer
    x = 1,354.29

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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.