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Finding the Fourth Proportional to 1,508.53, 2,081.56 and 845.41

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Solution

The fourth proportional to 1,508.53, 2,081.56 and 845.41 is: 1,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.53 : 2,081.56 = 845.41 : x
  2. Step 2: Convert to fraction form
    1,508.53/2,081.56 = 845.41/x
  3. Step 3: Cross multiply
    1,508.53x = 2,081.56 × 845.41
  4. Step 4: Simplify right side
    1,508.53x = 1,759,771.64
  5. Step 5: Solve for x
    x = 1,759,771.64/1,508.53
  6. Step 6: Final answer
    x = 1,166.55

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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.