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Finding the Fourth Proportional to 922.72, 1,273.84 and 712.44

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Solution

The fourth proportional to 922.72, 1,273.84 and 712.44 is: 983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,273.84 = 712.44 : x
  2. Step 2: Convert to fraction form
    922.72/1,273.84 = 712.44/x
  3. Step 3: Cross multiply
    922.72x = 1,273.84 × 712.44
  4. Step 4: Simplify right side
    922.72x = 907,534.57
  5. Step 5: Solve for x
    x = 907,534.57/922.72
  6. Step 6: Final answer
    x = 983.54

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1.5x scale

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.