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Finding the Fourth Proportional to 1,273.92, 1,756.37 and 824.99

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Solution

The fourth proportional to 1,273.92, 1,756.37 and 824.99 is: 1,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.92 : 1,756.37 = 824.99 : x
  2. Step 2: Convert to fraction form
    1,273.92/1,756.37 = 824.99/x
  3. Step 3: Cross multiply
    1,273.92x = 1,756.37 × 824.99
  4. Step 4: Simplify right side
    1,273.92x = 1,448,987.95
  5. Step 5: Solve for x
    x = 1,448,987.95/1,273.92
  6. Step 6: Final answer
    x = 1,137.42

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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.