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Finding the Fourth Proportional to 798.57, 1,195.79 and 749.93

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Solution

The fourth proportional to 798.57, 1,195.79 and 749.93 is: 1,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.57 : 1,195.79 = 749.93 : x
  2. Step 2: Convert to fraction form
    798.57/1,195.79 = 749.93/x
  3. Step 3: Cross multiply
    798.57x = 1,195.79 × 749.93
  4. Step 4: Simplify right side
    798.57x = 896,749.07
  5. Step 5: Solve for x
    x = 896,749.07/798.57
  6. Step 6: Final answer
    x = 1,122.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.