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Finding the Fourth Proportional to 578.34, 796.91 and 577.26

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Solution

The fourth proportional to 578.34, 796.91 and 577.26 is: 795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 796.91 = 577.26 : x
  2. Step 2: Convert to fraction form
    578.34/796.91 = 577.26/x
  3. Step 3: Cross multiply
    578.34x = 796.91 × 577.26
  4. Step 4: Simplify right side
    578.34x = 460,021.38
  5. Step 5: Solve for x
    x = 460,021.38/578.34
  6. Step 6: Final answer
    x = 795.42

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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.