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Finding the Fourth Proportional to 1,463.85, 2,021.46 and 940.78

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Solution

The fourth proportional to 1,463.85, 2,021.46 and 940.78 is: 1,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.85 : 2,021.46 = 940.78 : x
  2. Step 2: Convert to fraction form
    1,463.85/2,021.46 = 940.78/x
  3. Step 3: Cross multiply
    1,463.85x = 2,021.46 × 940.78
  4. Step 4: Simplify right side
    1,463.85x = 1,901,749.14
  5. Step 5: Solve for x
    x = 1,901,749.14/1,463.85
  6. Step 6: Final answer
    x = 1,299.14

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1.5x scale

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.