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Finding the Fourth Proportional to 1,920.75, 2,880.60 and 687.93

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Solution

The fourth proportional to 1,920.75, 2,880.60 and 687.93 is: 1,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.75 : 2,880.60 = 687.93 : x
  2. Step 2: Convert to fraction form
    1,920.75/2,880.60 = 687.93/x
  3. Step 3: Cross multiply
    1,920.75x = 2,880.60 × 687.93
  4. Step 4: Simplify right side
    1,920.75x = 1,981,651.16
  5. Step 5: Solve for x
    x = 1,981,651.16/1,920.75
  6. Step 6: Final answer
    x = 1,031.71

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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.