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Finding the Fourth Proportional to 798.00, 1,196.29 and 310.94

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Solution

The fourth proportional to 798.00, 1,196.29 and 310.94 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.00 : 1,196.29 = 310.94 : x
  2. Step 2: Convert to fraction form
    798.00/1,196.29 = 310.94/x
  3. Step 3: Cross multiply
    798.00x = 1,196.29 × 310.94
  4. Step 4: Simplify right side
    798.00x = 371,974.18
  5. Step 5: Solve for x
    x = 371,974.18/798.00
  6. Step 6: Final answer
    x = 466.13

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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.