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Finding the Fourth Proportional to 622.28, 857.18 and 435.44

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Solution

The fourth proportional to 622.28, 857.18 and 435.44 is: 599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.28 : 857.18 = 435.44 : x
  2. Step 2: Convert to fraction form
    622.28/857.18 = 435.44/x
  3. Step 3: Cross multiply
    622.28x = 857.18 × 435.44
  4. Step 4: Simplify right side
    622.28x = 373,250.46
  5. Step 5: Solve for x
    x = 373,250.46/622.28
  6. Step 6: Final answer
    x = 599.81

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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.