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Finding the Fourth Proportional to 662.26, 993.96 and 315.76

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Solution

The fourth proportional to 662.26, 993.96 and 315.76 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.26 : 993.96 = 315.76 : x
  2. Step 2: Convert to fraction form
    662.26/993.96 = 315.76/x
  3. Step 3: Cross multiply
    662.26x = 993.96 × 315.76
  4. Step 4: Simplify right side
    662.26x = 313,852.81
  5. Step 5: Solve for x
    x = 313,852.81/662.26
  6. Step 6: Final answer
    x = 473.91

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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.