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Finding the Fourth Proportional to 940.40, 1,402.78 and 832.40

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Solution

The fourth proportional to 940.40, 1,402.78 and 832.40 is: 1,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.40 : 1,402.78 = 832.40 : x
  2. Step 2: Convert to fraction form
    940.40/1,402.78 = 832.40/x
  3. Step 3: Cross multiply
    940.40x = 1,402.78 × 832.40
  4. Step 4: Simplify right side
    940.40x = 1,167,674.07
  5. Step 5: Solve for x
    x = 1,167,674.07/940.40
  6. Step 6: Final answer
    x = 1,241.68

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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.