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Finding the Fourth Proportional to 1,167.50, 1,610.56 and 794.36

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Solution

The fourth proportional to 1,167.50, 1,610.56 and 794.36 is: 1,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.50 : 1,610.56 = 794.36 : x
  2. Step 2: Convert to fraction form
    1,167.50/1,610.56 = 794.36/x
  3. Step 3: Cross multiply
    1,167.50x = 1,610.56 × 794.36
  4. Step 4: Simplify right side
    1,167.50x = 1,279,364.44
  5. Step 5: Solve for x
    x = 1,279,364.44/1,167.50
  6. Step 6: Final answer
    x = 1,095.82

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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.