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Finding the Fourth Proportional to 578.23, 797.99 and 342.25

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Solution

The fourth proportional to 578.23, 797.99 and 342.25 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.23 : 797.99 = 342.25 : x
  2. Step 2: Convert to fraction form
    578.23/797.99 = 342.25/x
  3. Step 3: Cross multiply
    578.23x = 797.99 × 342.25
  4. Step 4: Simplify right side
    578.23x = 273,108.37
  5. Step 5: Solve for x
    x = 273,108.37/578.23
  6. Step 6: Final answer
    x = 472.32

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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.