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Finding the Fourth Proportional to 938, 1,296 and 782.48

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Solution

The fourth proportional to 938, 1,296 and 782.48 is: 1,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    938 : 1,296 = 782.48 : x
  2. Step 2: Convert to fraction form
    938/1,296 = 782.48/x
  3. Step 3: Cross multiply
    938x = 1,296 × 782.48
  4. Step 4: Simplify right side
    938x = 1,014,094.08
  5. Step 5: Solve for x
    x = 1,014,094.08/938
  6. Step 6: Final answer
    x = 1,081.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.