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Finding the Fourth Proportional to 940.92, 1,296.72 and 678.48

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Solution

The fourth proportional to 940.92, 1,296.72 and 678.48 is: 935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.92 : 1,296.72 = 678.48 : x
  2. Step 2: Convert to fraction form
    940.92/1,296.72 = 678.48/x
  3. Step 3: Cross multiply
    940.92x = 1,296.72 × 678.48
  4. Step 4: Simplify right side
    940.92x = 879,798.59
  5. Step 5: Solve for x
    x = 879,798.59/940.92
  6. Step 6: Final answer
    x = 935.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.