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Finding the Fourth Proportional to 942.36, 1,407.27 and 932.19

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Solution

The fourth proportional to 942.36, 1,407.27 and 932.19 is: 1,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.36 : 1,407.27 = 932.19 : x
  2. Step 2: Convert to fraction form
    942.36/1,407.27 = 932.19/x
  3. Step 3: Cross multiply
    942.36x = 1,407.27 × 932.19
  4. Step 4: Simplify right side
    942.36x = 1,311,843.02
  5. Step 5: Solve for x
    x = 1,311,843.02/942.36
  6. Step 6: Final answer
    x = 1,392.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.