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Finding the Fourth Proportional to 488.22, 733.44 and 425.58

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Solution

The fourth proportional to 488.22, 733.44 and 425.58 is: 639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.22 : 733.44 = 425.58 : x
  2. Step 2: Convert to fraction form
    488.22/733.44 = 425.58/x
  3. Step 3: Cross multiply
    488.22x = 733.44 × 425.58
  4. Step 4: Simplify right side
    488.22x = 312,137.40
  5. Step 5: Solve for x
    x = 312,137.40/488.22
  6. Step 6: Final answer
    x = 639.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.