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Finding the Fourth Proportional to 620.75, 857.29 and 422.46

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Solution

The fourth proportional to 620.75, 857.29 and 422.46 is: 583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.75 : 857.29 = 422.46 : x
  2. Step 2: Convert to fraction form
    620.75/857.29 = 422.46/x
  3. Step 3: Cross multiply
    620.75x = 857.29 × 422.46
  4. Step 4: Simplify right side
    620.75x = 362,170.73
  5. Step 5: Solve for x
    x = 362,170.73/620.75
  6. Step 6: Final answer
    x = 583.44

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Find fourth proportional to 310.38, 428.65 and 211.23
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1.5x scale

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.