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Finding the Fourth Proportional to 1,263.95, 1,896.03 and 442.34

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Solution

The fourth proportional to 1,263.95, 1,896.03 and 442.34 is: 663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.95 : 1,896.03 = 442.34 : x
  2. Step 2: Convert to fraction form
    1,263.95/1,896.03 = 442.34/x
  3. Step 3: Cross multiply
    1,263.95x = 1,896.03 × 442.34
  4. Step 4: Simplify right side
    1,263.95x = 838,680.43
  5. Step 5: Solve for x
    x = 838,680.43/1,263.95
  6. Step 6: Final answer
    x = 663.54

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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.