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Finding the Fourth Proportional to 605.94, 836.13 and 448.65

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Solution

The fourth proportional to 605.94, 836.13 and 448.65 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.94 : 836.13 = 448.65 : x
  2. Step 2: Convert to fraction form
    605.94/836.13 = 448.65/x
  3. Step 3: Cross multiply
    605.94x = 836.13 × 448.65
  4. Step 4: Simplify right side
    605.94x = 375,129.72
  5. Step 5: Solve for x
    x = 375,129.72/605.94
  6. Step 6: Final answer
    x = 619.09

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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.