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Finding the Fourth Proportional to 1,920.24, 2,878.50 and 620.80

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Solution

The fourth proportional to 1,920.24, 2,878.50 and 620.80 is: 930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.24 : 2,878.50 = 620.80 : x
  2. Step 2: Convert to fraction form
    1,920.24/2,878.50 = 620.80/x
  3. Step 3: Cross multiply
    1,920.24x = 2,878.50 × 620.80
  4. Step 4: Simplify right side
    1,920.24x = 1,786,972.80
  5. Step 5: Solve for x
    x = 1,786,972.80/1,920.24
  6. Step 6: Final answer
    x = 930.60

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1.5x scale

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.