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Finding the Fourth Proportional to 1,275.75, 1,914.08 and 626.94

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Solution

The fourth proportional to 1,275.75, 1,914.08 and 626.94 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.75 : 1,914.08 = 626.94 : x
  2. Step 2: Convert to fraction form
    1,275.75/1,914.08 = 626.94/x
  3. Step 3: Cross multiply
    1,275.75x = 1,914.08 × 626.94
  4. Step 4: Simplify right side
    1,275.75x = 1,200,013.71
  5. Step 5: Solve for x
    x = 1,200,013.71/1,275.75
  6. Step 6: Final answer
    x = 940.63

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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.