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Finding the Fourth Proportional to 1,111.73, 1,666.98 and 882.09

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Solution

The fourth proportional to 1,111.73, 1,666.98 and 882.09 is: 1,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.73 : 1,666.98 = 882.09 : x
  2. Step 2: Convert to fraction form
    1,111.73/1,666.98 = 882.09/x
  3. Step 3: Cross multiply
    1,111.73x = 1,666.98 × 882.09
  4. Step 4: Simplify right side
    1,111.73x = 1,470,426.39
  5. Step 5: Solve for x
    x = 1,470,426.39/1,111.73
  6. Step 6: Final answer
    x = 1,322.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.