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Finding the Fourth Proportional to 940.50, 1,408.14 and 506.70

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Solution

The fourth proportional to 940.50, 1,408.14 and 506.70 is: 758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.50 : 1,408.14 = 506.70 : x
  2. Step 2: Convert to fraction form
    940.50/1,408.14 = 506.70/x
  3. Step 3: Cross multiply
    940.50x = 1,408.14 × 506.70
  4. Step 4: Simplify right side
    940.50x = 713,504.54
  5. Step 5: Solve for x
    x = 713,504.54/940.50
  6. Step 6: Final answer
    x = 758.64

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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.