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Finding the Fourth Proportional to 608.08, 838.28 and 599.84

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Solution

The fourth proportional to 608.08, 838.28 and 599.84 is: 826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.08 : 838.28 = 599.84 : x
  2. Step 2: Convert to fraction form
    608.08/838.28 = 599.84/x
  3. Step 3: Cross multiply
    608.08x = 838.28 × 599.84
  4. Step 4: Simplify right side
    608.08x = 502,833.88
  5. Step 5: Solve for x
    x = 502,833.88/608.08
  6. Step 6: Final answer
    x = 826.92

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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.