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Finding the Fourth Proportional to 940.84, 1,403.81 and 935.40

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Solution

The fourth proportional to 940.84, 1,403.81 and 935.40 is: 1,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.84 : 1,403.81 = 935.40 : x
  2. Step 2: Convert to fraction form
    940.84/1,403.81 = 935.40/x
  3. Step 3: Cross multiply
    940.84x = 1,403.81 × 935.40
  4. Step 4: Simplify right side
    940.84x = 1,313,123.87
  5. Step 5: Solve for x
    x = 1,313,123.87/940.84
  6. Step 6: Final answer
    x = 1,395.69

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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.