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Finding the Fourth Proportional to 565.37, 779.93 and 355.44

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Solution

The fourth proportional to 565.37, 779.93 and 355.44 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.37 : 779.93 = 355.44 : x
  2. Step 2: Convert to fraction form
    565.37/779.93 = 355.44/x
  3. Step 3: Cross multiply
    565.37x = 779.93 × 355.44
  4. Step 4: Simplify right side
    565.37x = 277,218.32
  5. Step 5: Solve for x
    x = 277,218.32/565.37
  6. Step 6: Final answer
    x = 490.33

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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.