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Finding the Fourth Proportional to 393.89, 586.98 and 380.83

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Solution

The fourth proportional to 393.89, 586.98 and 380.83 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.89 : 586.98 = 380.83 : x
  2. Step 2: Convert to fraction form
    393.89/586.98 = 380.83/x
  3. Step 3: Cross multiply
    393.89x = 586.98 × 380.83
  4. Step 4: Simplify right side
    393.89x = 223,537.69
  5. Step 5: Solve for x
    x = 223,537.69/393.89
  6. Step 6: Final answer
    x = 567.51

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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.