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Finding the Fourth Proportional to 653.06, 979.59 and 287.85

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Solution

The fourth proportional to 653.06, 979.59 and 287.85 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 979.59 = 287.85 : x
  2. Step 2: Convert to fraction form
    653.06/979.59 = 287.85/x
  3. Step 3: Cross multiply
    653.06x = 979.59 × 287.85
  4. Step 4: Simplify right side
    653.06x = 281,974.98
  5. Step 5: Solve for x
    x = 281,974.98/653.06
  6. Step 6: Final answer
    x = 431.78

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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.