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Finding the Fourth Proportional to 922.80, 1,273.67 and 628.77

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Solution

The fourth proportional to 922.80, 1,273.67 and 628.77 is: 867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.80 : 1,273.67 = 628.77 : x
  2. Step 2: Convert to fraction form
    922.80/1,273.67 = 628.77/x
  3. Step 3: Cross multiply
    922.80x = 1,273.67 × 628.77
  4. Step 4: Simplify right side
    922.80x = 800,845.49
  5. Step 5: Solve for x
    x = 800,845.49/922.80
  6. Step 6: Final answer
    x = 867.84

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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.