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Finding the Fourth Proportional to 1,081.23, 1,486.58 and 962.05

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Solution

The fourth proportional to 1,081.23, 1,486.58 and 962.05 is: 1,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.23 : 1,486.58 = 962.05 : x
  2. Step 2: Convert to fraction form
    1,081.23/1,486.58 = 962.05/x
  3. Step 3: Cross multiply
    1,081.23x = 1,486.58 × 962.05
  4. Step 4: Simplify right side
    1,081.23x = 1,430,164.29
  5. Step 5: Solve for x
    x = 1,430,164.29/1,081.23
  6. Step 6: Final answer
    x = 1,322.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.