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Finding the Fourth Proportional to 391.58, 583.51 and 380.44

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Solution

The fourth proportional to 391.58, 583.51 and 380.44 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.58 : 583.51 = 380.44 : x
  2. Step 2: Convert to fraction form
    391.58/583.51 = 380.44/x
  3. Step 3: Cross multiply
    391.58x = 583.51 × 380.44
  4. Step 4: Simplify right side
    391.58x = 221,990.54
  5. Step 5: Solve for x
    x = 221,990.54/391.58
  6. Step 6: Final answer
    x = 566.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.