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Finding the Fourth Proportional to 395.40, 589.33 and 390.54

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Solution

The fourth proportional to 395.40, 589.33 and 390.54 is: 582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.40 : 589.33 = 390.54 : x
  2. Step 2: Convert to fraction form
    395.40/589.33 = 390.54/x
  3. Step 3: Cross multiply
    395.40x = 589.33 × 390.54
  4. Step 4: Simplify right side
    395.40x = 230,156.94
  5. Step 5: Solve for x
    x = 230,156.94/395.40
  6. Step 6: Final answer
    x = 582.09

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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.