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Finding the Fourth Proportional to 1,289.45, 1,933.53 and 919.05

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Solution

The fourth proportional to 1,289.45, 1,933.53 and 919.05 is: 1,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.45 : 1,933.53 = 919.05 : x
  2. Step 2: Convert to fraction form
    1,289.45/1,933.53 = 919.05/x
  3. Step 3: Cross multiply
    1,289.45x = 1,933.53 × 919.05
  4. Step 4: Simplify right side
    1,289.45x = 1,777,010.75
  5. Step 5: Solve for x
    x = 1,777,010.75/1,289.45
  6. Step 6: Final answer
    x = 1,378.12

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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.