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Finding the Fourth Proportional to 628.39, 940.74 and 506.89

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Solution

The fourth proportional to 628.39, 940.74 and 506.89 is: 758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.39 : 940.74 = 506.89 : x
  2. Step 2: Convert to fraction form
    628.39/940.74 = 506.89/x
  3. Step 3: Cross multiply
    628.39x = 940.74 × 506.89
  4. Step 4: Simplify right side
    628.39x = 476,851.70
  5. Step 5: Solve for x
    x = 476,851.70/628.39
  6. Step 6: Final answer
    x = 758.85

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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.