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Finding the Fourth Proportional to 1,274.94, 1,912.07 and 350.28

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Solution

The fourth proportional to 1,274.94, 1,912.07 and 350.28 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.94 : 1,912.07 = 350.28 : x
  2. Step 2: Convert to fraction form
    1,274.94/1,912.07 = 350.28/x
  3. Step 3: Cross multiply
    1,274.94x = 1,912.07 × 350.28
  4. Step 4: Simplify right side
    1,274.94x = 669,758.13
  5. Step 5: Solve for x
    x = 669,758.13/1,274.94
  6. Step 6: Final answer
    x = 525.32

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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.