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Finding the Fourth Proportional to 662.77, 993.39 and 315.61

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Solution

The fourth proportional to 662.77, 993.39 and 315.61 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.77 : 993.39 = 315.61 : x
  2. Step 2: Convert to fraction form
    662.77/993.39 = 315.61/x
  3. Step 3: Cross multiply
    662.77x = 993.39 × 315.61
  4. Step 4: Simplify right side
    662.77x = 313,521.93
  5. Step 5: Solve for x
    x = 313,521.93/662.77
  6. Step 6: Final answer
    x = 473.05

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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.