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Finding the Fourth Proportional to 798.11, 1,197.12 and 386.00

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Solution

The fourth proportional to 798.11, 1,197.12 and 386.00 is: 578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.11 : 1,197.12 = 386.00 : x
  2. Step 2: Convert to fraction form
    798.11/1,197.12 = 386.00/x
  3. Step 3: Cross multiply
    798.11x = 1,197.12 × 386.00
  4. Step 4: Simplify right side
    798.11x = 462,082.33
  5. Step 5: Solve for x
    x = 462,082.33/798.11
  6. Step 6: Final answer
    x = 578.97

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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.