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Finding the Fourth Proportional to 448.98, 622.16 and 421.58

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Solution

The fourth proportional to 448.98, 622.16 and 421.58 is: 584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.98 : 622.16 = 421.58 : x
  2. Step 2: Convert to fraction form
    448.98/622.16 = 421.58/x
  3. Step 3: Cross multiply
    448.98x = 622.16 × 421.58
  4. Step 4: Simplify right side
    448.98x = 262,290.21
  5. Step 5: Solve for x
    x = 262,290.21/448.98
  6. Step 6: Final answer
    x = 584.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.