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Finding the Fourth Proportional to 1,264.42, 1,896.07 and 494.38

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Solution

The fourth proportional to 1,264.42, 1,896.07 and 494.38 is: 741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.42 : 1,896.07 = 494.38 : x
  2. Step 2: Convert to fraction form
    1,264.42/1,896.07 = 494.38/x
  3. Step 3: Cross multiply
    1,264.42x = 1,896.07 × 494.38
  4. Step 4: Simplify right side
    1,264.42x = 937,379.09
  5. Step 5: Solve for x
    x = 937,379.09/1,264.42
  6. Step 6: Final answer
    x = 741.35

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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.