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Finding the Fourth Proportional to 628.10, 940.80 and 506.60

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Solution

The fourth proportional to 628.10, 940.80 and 506.60 is: 758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.10 : 940.80 = 506.60 : x
  2. Step 2: Convert to fraction form
    628.10/940.80 = 506.60/x
  3. Step 3: Cross multiply
    628.10x = 940.80 × 506.60
  4. Step 4: Simplify right side
    628.10x = 476,609.28
  5. Step 5: Solve for x
    x = 476,609.28/628.10
  6. Step 6: Final answer
    x = 758.81

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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.