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Finding the Fourth Proportional to 1,082.33, 1,491.86 and 845.86

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Solution

The fourth proportional to 1,082.33, 1,491.86 and 845.86 is: 1,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.33 : 1,491.86 = 845.86 : x
  2. Step 2: Convert to fraction form
    1,082.33/1,491.86 = 845.86/x
  3. Step 3: Cross multiply
    1,082.33x = 1,491.86 × 845.86
  4. Step 4: Simplify right side
    1,082.33x = 1,261,904.70
  5. Step 5: Solve for x
    x = 1,261,904.70/1,082.33
  6. Step 6: Final answer
    x = 1,165.91

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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.