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Finding the Fourth Proportional to 448.09, 675.55 and 416.77

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Solution

The fourth proportional to 448.09, 675.55 and 416.77 is: 628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.09 : 675.55 = 416.77 : x
  2. Step 2: Convert to fraction form
    448.09/675.55 = 416.77/x
  3. Step 3: Cross multiply
    448.09x = 675.55 × 416.77
  4. Step 4: Simplify right side
    448.09x = 281,548.97
  5. Step 5: Solve for x
    x = 281,548.97/448.09
  6. Step 6: Final answer
    x = 628.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.