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Finding the Fourth Proportional to 922.72, 1,278.85 and 905.44

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Solution

The fourth proportional to 922.72, 1,278.85 and 905.44 is: 1,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,278.85 = 905.44 : x
  2. Step 2: Convert to fraction form
    922.72/1,278.85 = 905.44/x
  3. Step 3: Cross multiply
    922.72x = 1,278.85 × 905.44
  4. Step 4: Simplify right side
    922.72x = 1,157,921.94
  5. Step 5: Solve for x
    x = 1,157,921.94/922.72
  6. Step 6: Final answer
    x = 1,254.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.