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Finding the Fourth Proportional to 383.46, 571.49 and 382.85

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Solution

The fourth proportional to 383.46, 571.49 and 382.85 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.46 : 571.49 = 382.85 : x
  2. Step 2: Convert to fraction form
    383.46/571.49 = 382.85/x
  3. Step 3: Cross multiply
    383.46x = 571.49 × 382.85
  4. Step 4: Simplify right side
    383.46x = 218,794.95
  5. Step 5: Solve for x
    x = 218,794.95/383.46
  6. Step 6: Final answer
    x = 570.58

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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.