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Finding the Fourth Proportional to 989.09, 1,483.89 and 295.76

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Solution

The fourth proportional to 989.09, 1,483.89 and 295.76 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.09 : 1,483.89 = 295.76 : x
  2. Step 2: Convert to fraction form
    989.09/1,483.89 = 295.76/x
  3. Step 3: Cross multiply
    989.09x = 1,483.89 × 295.76
  4. Step 4: Simplify right side
    989.09x = 438,867.89
  5. Step 5: Solve for x
    x = 438,867.89/989.09
  6. Step 6: Final answer
    x = 443.71

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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.