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Finding the Fourth Proportional to 999.41, 1,379.25 and 557.42

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Solution

The fourth proportional to 999.41, 1,379.25 and 557.42 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.41 : 1,379.25 = 557.42 : x
  2. Step 2: Convert to fraction form
    999.41/1,379.25 = 557.42/x
  3. Step 3: Cross multiply
    999.41x = 1,379.25 × 557.42
  4. Step 4: Simplify right side
    999.41x = 768,814.64
  5. Step 5: Solve for x
    x = 768,814.64/999.41
  6. Step 6: Final answer
    x = 769.27

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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.