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Finding the Fourth Proportional to 930.92, 1,388.52 and 792.41

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Solution

The fourth proportional to 930.92, 1,388.52 and 792.41 is: 1,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,388.52 = 792.41 : x
  2. Step 2: Convert to fraction form
    930.92/1,388.52 = 792.41/x
  3. Step 3: Cross multiply
    930.92x = 1,388.52 × 792.41
  4. Step 4: Simplify right side
    930.92x = 1,100,271.87
  5. Step 5: Solve for x
    x = 1,100,271.87/930.92
  6. Step 6: Final answer
    x = 1,181.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.