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Finding the Fourth Proportional to 999.23, 1,379.31 and 858.79

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Solution

The fourth proportional to 999.23, 1,379.31 and 858.79 is: 1,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.23 : 1,379.31 = 858.79 : x
  2. Step 2: Convert to fraction form
    999.23/1,379.31 = 858.79/x
  3. Step 3: Cross multiply
    999.23x = 1,379.31 × 858.79
  4. Step 4: Simplify right side
    999.23x = 1,184,537.63
  5. Step 5: Solve for x
    x = 1,184,537.63/999.23
  6. Step 6: Final answer
    x = 1,185.45

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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.