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Finding the Fourth Proportional to 1,263.06, 1,895.00 and 742.95

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Solution

The fourth proportional to 1,263.06, 1,895.00 and 742.95 is: 1,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.06 : 1,895.00 = 742.95 : x
  2. Step 2: Convert to fraction form
    1,263.06/1,895.00 = 742.95/x
  3. Step 3: Cross multiply
    1,263.06x = 1,895.00 × 742.95
  4. Step 4: Simplify right side
    1,263.06x = 1,407,886.54
  5. Step 5: Solve for x
    x = 1,407,886.54/1,263.06
  6. Step 6: Final answer
    x = 1,114.66

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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.