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Finding the Fourth Proportional to 608.25, 838.39 and 475.23

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Solution

The fourth proportional to 608.25, 838.39 and 475.23 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.25 : 838.39 = 475.23 : x
  2. Step 2: Convert to fraction form
    608.25/838.39 = 475.23/x
  3. Step 3: Cross multiply
    608.25x = 838.39 × 475.23
  4. Step 4: Simplify right side
    608.25x = 398,433.71
  5. Step 5: Solve for x
    x = 398,433.71/608.25
  6. Step 6: Final answer
    x = 655.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.