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Finding the Fourth Proportional to 434.22, 648.06 and 379.44

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Solution

The fourth proportional to 434.22, 648.06 and 379.44 is: 566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 648.06 = 379.44 : x
  2. Step 2: Convert to fraction form
    434.22/648.06 = 379.44/x
  3. Step 3: Cross multiply
    434.22x = 648.06 × 379.44
  4. Step 4: Simplify right side
    434.22x = 245,899.89
  5. Step 5: Solve for x
    x = 245,899.89/434.22
  6. Step 6: Final answer
    x = 566.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.