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Finding the Fourth Proportional to 942.22, 1,288.71 and 927.10

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Solution

The fourth proportional to 942.22, 1,288.71 and 927.10 is: 1,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,288.71 = 927.10 : x
  2. Step 2: Convert to fraction form
    942.22/1,288.71 = 927.10/x
  3. Step 3: Cross multiply
    942.22x = 1,288.71 × 927.10
  4. Step 4: Simplify right side
    942.22x = 1,194,763.04
  5. Step 5: Solve for x
    x = 1,194,763.04/942.22
  6. Step 6: Final answer
    x = 1,268.03

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1.5x scale

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.