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Finding the Fourth Proportional to 395.83, 589.93 and 395.22

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Solution

The fourth proportional to 395.83, 589.93 and 395.22 is: 589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.83 : 589.93 = 395.22 : x
  2. Step 2: Convert to fraction form
    395.83/589.93 = 395.22/x
  3. Step 3: Cross multiply
    395.83x = 589.93 × 395.22
  4. Step 4: Simplify right side
    395.83x = 233,152.13
  5. Step 5: Solve for x
    x = 233,152.13/395.83
  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.