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Finding the Fourth Proportional to 855.65, 1,180.19 and 827.07

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Solution

The fourth proportional to 855.65, 1,180.19 and 827.07 is: 1,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.65 : 1,180.19 = 827.07 : x
  2. Step 2: Convert to fraction form
    855.65/1,180.19 = 827.07/x
  3. Step 3: Cross multiply
    855.65x = 1,180.19 × 827.07
  4. Step 4: Simplify right side
    855.65x = 976,089.71
  5. Step 5: Solve for x
    x = 976,089.71/855.65
  6. Step 6: Final answer
    x = 1,140.76

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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.