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Finding the Fourth Proportional to 855.82, 1,181.22 and 590.86

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Solution

The fourth proportional to 855.82, 1,181.22 and 590.86 is: 815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.82 : 1,181.22 = 590.86 : x
  2. Step 2: Convert to fraction form
    855.82/1,181.22 = 590.86/x
  3. Step 3: Cross multiply
    855.82x = 1,181.22 × 590.86
  4. Step 4: Simplify right side
    855.82x = 697,935.65
  5. Step 5: Solve for x
    x = 697,935.65/855.82
  6. Step 6: Final answer
    x = 815.52

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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.