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Finding the Fourth Proportional to 488.54, 733.44 and 486.74

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Solution

The fourth proportional to 488.54, 733.44 and 486.74 is: 730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 733.44 = 486.74 : x
  2. Step 2: Convert to fraction form
    488.54/733.44 = 486.74/x
  3. Step 3: Cross multiply
    488.54x = 733.44 × 486.74
  4. Step 4: Simplify right side
    488.54x = 356,994.59
  5. Step 5: Solve for x
    x = 356,994.59/488.54
  6. Step 6: Final answer
    x = 730.74

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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.