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Finding the Fourth Proportional to 608.27, 838.01 and 477.05

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Solution

The fourth proportional to 608.27, 838.01 and 477.05 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.27 : 838.01 = 477.05 : x
  2. Step 2: Convert to fraction form
    608.27/838.01 = 477.05/x
  3. Step 3: Cross multiply
    608.27x = 838.01 × 477.05
  4. Step 4: Simplify right side
    608.27x = 399,769.67
  5. Step 5: Solve for x
    x = 399,769.67/608.27
  6. Step 6: Final answer
    x = 657.23

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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.