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Finding the Fourth Proportional to 990.97, 1,484.16 and 882.09

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Solution

The fourth proportional to 990.97, 1,484.16 and 882.09 is: 1,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.97 : 1,484.16 = 882.09 : x
  2. Step 2: Convert to fraction form
    990.97/1,484.16 = 882.09/x
  3. Step 3: Cross multiply
    990.97x = 1,484.16 × 882.09
  4. Step 4: Simplify right side
    990.97x = 1,309,159.39
  5. Step 5: Solve for x
    x = 1,309,159.39/990.97
  6. Step 6: Final answer
    x = 1,321.09

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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.