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Finding the Fourth Proportional to 578.43, 798.12 and 401.12

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Solution

The fourth proportional to 578.43, 798.12 and 401.12 is: 553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 798.12 = 401.12 : x
  2. Step 2: Convert to fraction form
    578.43/798.12 = 401.12/x
  3. Step 3: Cross multiply
    578.43x = 798.12 × 401.12
  4. Step 4: Simplify right side
    578.43x = 320,137.90
  5. Step 5: Solve for x
    x = 320,137.90/578.43
  6. Step 6: Final answer
    x = 553.46

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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.