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Finding the Fourth Proportional to 880.92, 1,321.46 and 418.92

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Solution

The fourth proportional to 880.92, 1,321.46 and 418.92 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,321.46 = 418.92 : x
  2. Step 2: Convert to fraction form
    880.92/1,321.46 = 418.92/x
  3. Step 3: Cross multiply
    880.92x = 1,321.46 × 418.92
  4. Step 4: Simplify right side
    880.92x = 553,577.32
  5. Step 5: Solve for x
    x = 553,577.32/880.92
  6. Step 6: Final answer
    x = 628.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.