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Finding the Fourth Proportional to 622.13, 857.66 and 445.05

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Solution

The fourth proportional to 622.13, 857.66 and 445.05 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 857.66 = 445.05 : x
  2. Step 2: Convert to fraction form
    622.13/857.66 = 445.05/x
  3. Step 3: Cross multiply
    622.13x = 857.66 × 445.05
  4. Step 4: Simplify right side
    622.13x = 381,699.36
  5. Step 5: Solve for x
    x = 381,699.36/622.13
  6. Step 6: Final answer
    x = 613.54

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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.