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Finding the Fourth Proportional to 448.35, 617.61 and 381.74

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Solution

The fourth proportional to 448.35, 617.61 and 381.74 is: 525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.35 : 617.61 = 381.74 : x
  2. Step 2: Convert to fraction form
    448.35/617.61 = 381.74/x
  3. Step 3: Cross multiply
    448.35x = 617.61 × 381.74
  4. Step 4: Simplify right side
    448.35x = 235,766.44
  5. Step 5: Solve for x
    x = 235,766.44/448.35
  6. Step 6: Final answer
    x = 525.86

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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.