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Finding the Fourth Proportional to 422.75, 583.73 and 275.63

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Solution

The fourth proportional to 422.75, 583.73 and 275.63 is: 380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 583.73 = 275.63 : x
  2. Step 2: Convert to fraction form
    422.75/583.73 = 275.63/x
  3. Step 3: Cross multiply
    422.75x = 583.73 × 275.63
  4. Step 4: Simplify right side
    422.75x = 160,893.50
  5. Step 5: Solve for x
    x = 160,893.50/422.75
  6. Step 6: Final answer
    x = 380.59

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Find fourth proportional to 211.38, 291.87 and 137.82
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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.