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Finding the Fourth Proportional to 855.86, 1,180.82 and 523.94

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Solution

The fourth proportional to 855.86, 1,180.82 and 523.94 is: 722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.86 : 1,180.82 = 523.94 : x
  2. Step 2: Convert to fraction form
    855.86/1,180.82 = 523.94/x
  3. Step 3: Cross multiply
    855.86x = 1,180.82 × 523.94
  4. Step 4: Simplify right side
    855.86x = 618,678.83
  5. Step 5: Solve for x
    x = 618,678.83/855.86
  6. Step 6: Final answer
    x = 722.87

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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.