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Finding the Fourth Proportional to 1,275.73, 1,911.49 and 787.73

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Solution

The fourth proportional to 1,275.73, 1,911.49 and 787.73 is: 1,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.73 : 1,911.49 = 787.73 : x
  2. Step 2: Convert to fraction form
    1,275.73/1,911.49 = 787.73/x
  3. Step 3: Cross multiply
    1,275.73x = 1,911.49 × 787.73
  4. Step 4: Simplify right side
    1,275.73x = 1,505,738.02
  5. Step 5: Solve for x
    x = 1,505,738.02/1,275.73
  6. Step 6: Final answer
    x = 1,180.30

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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.