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Finding the Fourth Proportional to 662.78, 993.51 and 315.50

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Solution

The fourth proportional to 662.78, 993.51 and 315.50 is: 472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.78 : 993.51 = 315.50 : x
  2. Step 2: Convert to fraction form
    662.78/993.51 = 315.50/x
  3. Step 3: Cross multiply
    662.78x = 993.51 × 315.50
  4. Step 4: Simplify right side
    662.78x = 313,447.44
  5. Step 5: Solve for x
    x = 313,447.44/662.78
  6. Step 6: Final answer
    x = 472.93

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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.