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Finding the Fourth Proportional to 1,578.96, 2,179.08 and 880.29

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Solution

The fourth proportional to 1,578.96, 2,179.08 and 880.29 is: 1,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.96 : 2,179.08 = 880.29 : x
  2. Step 2: Convert to fraction form
    1,578.96/2,179.08 = 880.29/x
  3. Step 3: Cross multiply
    1,578.96x = 2,179.08 × 880.29
  4. Step 4: Simplify right side
    1,578.96x = 1,918,222.33
  5. Step 5: Solve for x
    x = 1,918,222.33/1,578.96
  6. Step 6: Final answer
    x = 1,214.86

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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.