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Finding the Fourth Proportional to 1,293.22, 1,782.78 and 795.52

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Solution

The fourth proportional to 1,293.22, 1,782.78 and 795.52 is: 1,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.22 : 1,782.78 = 795.52 : x
  2. Step 2: Convert to fraction form
    1,293.22/1,782.78 = 795.52/x
  3. Step 3: Cross multiply
    1,293.22x = 1,782.78 × 795.52
  4. Step 4: Simplify right side
    1,293.22x = 1,418,243.10
  5. Step 5: Solve for x
    x = 1,418,243.10/1,293.22
  6. Step 6: Final answer
    x = 1,096.68

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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.