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Finding the Fourth Proportional to 422.94, 583.67 and 275.84

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Solution

The fourth proportional to 422.94, 583.67 and 275.84 is: 380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 583.67 = 275.84 : x
  2. Step 2: Convert to fraction form
    422.94/583.67 = 275.84/x
  3. Step 3: Cross multiply
    422.94x = 583.67 × 275.84
  4. Step 4: Simplify right side
    422.94x = 160,995.24
  5. Step 5: Solve for x
    x = 160,995.24/422.94
  6. Step 6: Final answer
    x = 380.66

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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.