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Finding the Fourth Proportional to 622.45, 930.11 and 448.30

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Solution

The fourth proportional to 622.45, 930.11 and 448.30 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.45 : 930.11 = 448.30 : x
  2. Step 2: Convert to fraction form
    622.45/930.11 = 448.30/x
  3. Step 3: Cross multiply
    622.45x = 930.11 × 448.30
  4. Step 4: Simplify right side
    622.45x = 416,968.31
  5. Step 5: Solve for x
    x = 416,968.31/622.45
  6. Step 6: Final answer
    x = 669.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.