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Finding the Fourth Proportional to 448.23, 617.62 and 381.61

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Solution

The fourth proportional to 448.23, 617.62 and 381.61 is: 525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.23 : 617.62 = 381.61 : x
  2. Step 2: Convert to fraction form
    448.23/617.62 = 381.61/x
  3. Step 3: Cross multiply
    448.23x = 617.62 × 381.61
  4. Step 4: Simplify right side
    448.23x = 235,689.97
  5. Step 5: Solve for x
    x = 235,689.97/448.23
  6. Step 6: Final answer
    x = 525.82

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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.