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Finding the Fourth Proportional to 1,401.25, 1,933.79 and 780.25

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Solution

The fourth proportional to 1,401.25, 1,933.79 and 780.25 is: 1,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.25 : 1,933.79 = 780.25 : x
  2. Step 2: Convert to fraction form
    1,401.25/1,933.79 = 780.25/x
  3. Step 3: Cross multiply
    1,401.25x = 1,933.79 × 780.25
  4. Step 4: Simplify right side
    1,401.25x = 1,508,835.75
  5. Step 5: Solve for x
    x = 1,508,835.75/1,401.25
  6. Step 6: Final answer
    x = 1,076.78

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