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Finding the Fourth Proportional to 943.30, 1,414.40 and 480.78

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Solution

The fourth proportional to 943.30, 1,414.40 and 480.78 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.30 : 1,414.40 = 480.78 : x
  2. Step 2: Convert to fraction form
    943.30/1,414.40 = 480.78/x
  3. Step 3: Cross multiply
    943.30x = 1,414.40 × 480.78
  4. Step 4: Simplify right side
    943.30x = 680,015.23
  5. Step 5: Solve for x
    x = 680,015.23/943.30
  6. Step 6: Final answer
    x = 720.89

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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.