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Finding the Fourth Proportional to 920.94, 1,273.86 and 773.34

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Solution

The fourth proportional to 920.94, 1,273.86 and 773.34 is: 1,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.94 : 1,273.86 = 773.34 : x
  2. Step 2: Convert to fraction form
    920.94/1,273.86 = 773.34/x
  3. Step 3: Cross multiply
    920.94x = 1,273.86 × 773.34
  4. Step 4: Simplify right side
    920.94x = 985,126.89
  5. Step 5: Solve for x
    x = 985,126.89/920.94
  6. Step 6: Final answer
    x = 1,069.70

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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.