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Finding the Fourth Proportional to 605.74, 836.16 and 448.40

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Solution

The fourth proportional to 605.74, 836.16 and 448.40 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.74 : 836.16 = 448.40 : x
  2. Step 2: Convert to fraction form
    605.74/836.16 = 448.40/x
  3. Step 3: Cross multiply
    605.74x = 836.16 × 448.40
  4. Step 4: Simplify right side
    605.74x = 374,934.14
  5. Step 5: Solve for x
    x = 374,934.14/605.74
  6. Step 6: Final answer
    x = 618.97

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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.