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Finding the Fourth Proportional to 1,433.89, 1,978.15 and 903

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Solution

The fourth proportional to 1,433.89, 1,978.15 and 903 is: 1,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.89 : 1,978.15 = 903 : x
  2. Step 2: Convert to fraction form
    1,433.89/1,978.15 = 903/x
  3. Step 3: Cross multiply
    1,433.89x = 1,978.15 × 903
  4. Step 4: Simplify right side
    1,433.89x = 1,786,269.45
  5. Step 5: Solve for x
    x = 1,786,269.45/1,433.89
  6. Step 6: Final answer
    x = 1,245.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.