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Finding the Fourth Proportional to 840.56, 1,268.42 and 810.05

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Solution

The fourth proportional to 840.56, 1,268.42 and 810.05 is: 1,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.56 : 1,268.42 = 810.05 : x
  2. Step 2: Convert to fraction form
    840.56/1,268.42 = 810.05/x
  3. Step 3: Cross multiply
    840.56x = 1,268.42 × 810.05
  4. Step 4: Simplify right side
    840.56x = 1,027,473.23
  5. Step 5: Solve for x
    x = 1,027,473.23/840.56
  6. Step 6: Final answer
    x = 1,222.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.