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Finding the Fourth Proportional to 993.93, 1,369.96 and 698.68

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Solution

The fourth proportional to 993.93, 1,369.96 and 698.68 is: 963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.93 : 1,369.96 = 698.68 : x
  2. Step 2: Convert to fraction form
    993.93/1,369.96 = 698.68/x
  3. Step 3: Cross multiply
    993.93x = 1,369.96 × 698.68
  4. Step 4: Simplify right side
    993.93x = 957,163.65
  5. Step 5: Solve for x
    x = 957,163.65/993.93
  6. Step 6: Final answer
    x = 963.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.