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Finding the Fourth Proportional to 940.32, 1,402.49 and 923.92

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Solution

The fourth proportional to 940.32, 1,402.49 and 923.92 is: 1,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,402.49 = 923.92 : x
  2. Step 2: Convert to fraction form
    940.32/1,402.49 = 923.92/x
  3. Step 3: Cross multiply
    940.32x = 1,402.49 × 923.92
  4. Step 4: Simplify right side
    940.32x = 1,295,781.55
  5. Step 5: Solve for x
    x = 1,295,781.55/940.32
  6. Step 6: Final answer
    x = 1,378.03

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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.