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Finding the Fourth Proportional to 393.89, 586.64 and 386.60

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Solution

The fourth proportional to 393.89, 586.64 and 386.60 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.89 : 586.64 = 386.60 : x
  2. Step 2: Convert to fraction form
    393.89/586.64 = 386.60/x
  3. Step 3: Cross multiply
    393.89x = 586.64 × 386.60
  4. Step 4: Simplify right side
    393.89x = 226,793.06
  5. Step 5: Solve for x
    x = 226,793.06/393.89
  6. Step 6: Final answer
    x = 575.78

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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.