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Finding the Fourth Proportional to 798.69, 1,192.49 and 749.49

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Solution

The fourth proportional to 798.69, 1,192.49 and 749.49 is: 1,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.69 : 1,192.49 = 749.49 : x
  2. Step 2: Convert to fraction form
    798.69/1,192.49 = 749.49/x
  3. Step 3: Cross multiply
    798.69x = 1,192.49 × 749.49
  4. Step 4: Simplify right side
    798.69x = 893,755.58
  5. Step 5: Solve for x
    x = 893,755.58/798.69
  6. Step 6: Final answer
    x = 1,119.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.