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Finding the Fourth Proportional to 1,047.82, 1,446.09 and 605.86

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Solution

The fourth proportional to 1,047.82, 1,446.09 and 605.86 is: 836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.82 : 1,446.09 = 605.86 : x
  2. Step 2: Convert to fraction form
    1,047.82/1,446.09 = 605.86/x
  3. Step 3: Cross multiply
    1,047.82x = 1,446.09 × 605.86
  4. Step 4: Simplify right side
    1,047.82x = 876,128.09
  5. Step 5: Solve for x
    x = 876,128.09/1,047.82
  6. Step 6: Final answer
    x = 836.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.