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Finding the Fourth Proportional to 940.00, 1,296.77 and 546.79

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Solution

The fourth proportional to 940.00, 1,296.77 and 546.79 is: 754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.00 : 1,296.77 = 546.79 : x
  2. Step 2: Convert to fraction form
    940.00/1,296.77 = 546.79/x
  3. Step 3: Cross multiply
    940.00x = 1,296.77 × 546.79
  4. Step 4: Simplify right side
    940.00x = 709,060.87
  5. Step 5: Solve for x
    x = 709,060.87/940.00
  6. Step 6: Final answer
    x = 754.32

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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.