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Finding the Fourth Proportional to 939.51, 1,296.74 and 546.59

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Solution

The fourth proportional to 939.51, 1,296.74 and 546.59 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.51 : 1,296.74 = 546.59 : x
  2. Step 2: Convert to fraction form
    939.51/1,296.74 = 546.59/x
  3. Step 3: Cross multiply
    939.51x = 1,296.74 × 546.59
  4. Step 4: Simplify right side
    939.51x = 708,785.12
  5. Step 5: Solve for x
    x = 708,785.12/939.51
  6. Step 6: Final answer
    x = 754.42

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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.