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Finding the Fourth Proportional to 594.78, 820.14 and 408.36

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Solution

The fourth proportional to 594.78, 820.14 and 408.36 is: 563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 820.14 = 408.36 : x
  2. Step 2: Convert to fraction form
    594.78/820.14 = 408.36/x
  3. Step 3: Cross multiply
    594.78x = 820.14 × 408.36
  4. Step 4: Simplify right side
    594.78x = 334,912.37
  5. Step 5: Solve for x
    x = 334,912.37/594.78
  6. Step 6: Final answer
    x = 563.09

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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.