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Finding the Fourth Proportional to 1,275.06, 1,912.52 and 350.70

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Solution

The fourth proportional to 1,275.06, 1,912.52 and 350.70 is: 526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.06 : 1,912.52 = 350.70 : x
  2. Step 2: Convert to fraction form
    1,275.06/1,912.52 = 350.70/x
  3. Step 3: Cross multiply
    1,275.06x = 1,912.52 × 350.70
  4. Step 4: Simplify right side
    1,275.06x = 670,720.76
  5. Step 5: Solve for x
    x = 670,720.76/1,275.06
  6. Step 6: Final answer
    x = 526.03

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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.