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Finding the Fourth Proportional to 1,263.65, 1,893.55 and 851.26

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Solution

The fourth proportional to 1,263.65, 1,893.55 and 851.26 is: 1,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.65 : 1,893.55 = 851.26 : x
  2. Step 2: Convert to fraction form
    1,263.65/1,893.55 = 851.26/x
  3. Step 3: Cross multiply
    1,263.65x = 1,893.55 × 851.26
  4. Step 4: Simplify right side
    1,263.65x = 1,611,903.37
  5. Step 5: Solve for x
    x = 1,611,903.37/1,263.65
  6. Step 6: Final answer
    x = 1,275.59

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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.