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Finding the Fourth Proportional to 798.92, 1,196.75 and 538.16

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Solution

The fourth proportional to 798.92, 1,196.75 and 538.16 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.92 : 1,196.75 = 538.16 : x
  2. Step 2: Convert to fraction form
    798.92/1,196.75 = 538.16/x
  3. Step 3: Cross multiply
    798.92x = 1,196.75 × 538.16
  4. Step 4: Simplify right side
    798.92x = 644,034.31
  5. Step 5: Solve for x
    x = 644,034.31/798.92
  6. Step 6: Final answer
    x = 806.14

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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.