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Finding the Fourth Proportional to 1,245.27, 1,718.39 and 685.77

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Solution

The fourth proportional to 1,245.27, 1,718.39 and 685.77 is: 946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.27 : 1,718.39 = 685.77 : x
  2. Step 2: Convert to fraction form
    1,245.27/1,718.39 = 685.77/x
  3. Step 3: Cross multiply
    1,245.27x = 1,718.39 × 685.77
  4. Step 4: Simplify right side
    1,245.27x = 1,178,413.65
  5. Step 5: Solve for x
    x = 1,178,413.65/1,245.27
  6. Step 6: Final answer
    x = 946.31

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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.