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Finding the Fourth Proportional to 488.09, 674.66 and 406.55

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Solution

The fourth proportional to 488.09, 674.66 and 406.55 is: 561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.09 : 674.66 = 406.55 : x
  2. Step 2: Convert to fraction form
    488.09/674.66 = 406.55/x
  3. Step 3: Cross multiply
    488.09x = 674.66 × 406.55
  4. Step 4: Simplify right side
    488.09x = 274,285.73
  5. Step 5: Solve for x
    x = 274,285.73/488.09
  6. Step 6: Final answer
    x = 561.95

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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.