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Finding the Fourth Proportional to 1,025.92, 1,414.84 and 922.76

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Solution

The fourth proportional to 1,025.92, 1,414.84 and 922.76 is: 1,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.92 : 1,414.84 = 922.76 : x
  2. Step 2: Convert to fraction form
    1,025.92/1,414.84 = 922.76/x
  3. Step 3: Cross multiply
    1,025.92x = 1,414.84 × 922.76
  4. Step 4: Simplify right side
    1,025.92x = 1,305,557.76
  5. Step 5: Solve for x
    x = 1,305,557.76/1,025.92
  6. Step 6: Final answer
    x = 1,272.57

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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.