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Finding the Fourth Proportional to 989.36, 1,482.27 and 930.81

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Solution

The fourth proportional to 989.36, 1,482.27 and 930.81 is: 1,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.36 : 1,482.27 = 930.81 : x
  2. Step 2: Convert to fraction form
    989.36/1,482.27 = 930.81/x
  3. Step 3: Cross multiply
    989.36x = 1,482.27 × 930.81
  4. Step 4: Simplify right side
    989.36x = 1,379,705.47
  5. Step 5: Solve for x
    x = 1,379,705.47/989.36
  6. Step 6: Final answer
    x = 1,394.54

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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.