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Finding the Fourth Proportional to 1,025.92, 1,416 and 676.48

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Solution

The fourth proportional to 1,025.92, 1,416 and 676.48 is: 933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.92 : 1,416 = 676.48 : x
  2. Step 2: Convert to fraction form
    1,025.92/1,416 = 676.48/x
  3. Step 3: Cross multiply
    1,025.92x = 1,416 × 676.48
  4. Step 4: Simplify right side
    1,025.92x = 957,895.68
  5. Step 5: Solve for x
    x = 957,895.68/1,025.92
  6. Step 6: Final answer
    x = 933.69

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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.