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Finding the Fourth Proportional to 420.48, 578.88 and 379.44

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Solution

The fourth proportional to 420.48, 578.88 and 379.44 is: 522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 578.88 = 379.44 : x
  2. Step 2: Convert to fraction form
    420.48/578.88 = 379.44/x
  3. Step 3: Cross multiply
    420.48x = 578.88 × 379.44
  4. Step 4: Simplify right side
    420.48x = 219,650.23
  5. Step 5: Solve for x
    x = 219,650.23/420.48
  6. Step 6: Final answer
    x = 522.38

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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.