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Finding the Fourth Proportional to 420.35, 578.48 and 394.83

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Solution

The fourth proportional to 420.35, 578.48 and 394.83 is: 543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.35 : 578.48 = 394.83 : x
  2. Step 2: Convert to fraction form
    420.35/578.48 = 394.83/x
  3. Step 3: Cross multiply
    420.35x = 578.48 × 394.83
  4. Step 4: Simplify right side
    420.35x = 228,399.28
  5. Step 5: Solve for x
    x = 228,399.28/420.35
  6. Step 6: Final answer
    x = 543.36

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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.