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Finding the Fourth Proportional to 395.58, 589.83 and 395.04

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Solution

The fourth proportional to 395.58, 589.83 and 395.04 is: 589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.58 : 589.83 = 395.04 : x
  2. Step 2: Convert to fraction form
    395.58/589.83 = 395.04/x
  3. Step 3: Cross multiply
    395.58x = 589.83 × 395.04
  4. Step 4: Simplify right side
    395.58x = 233,006.44
  5. Step 5: Solve for x
    x = 233,006.44/395.58
  6. Step 6: Final answer
    x = 589.02

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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.