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Finding the Fourth Proportional to 1,317.89, 1,974.80 and 829.94

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Solution

The fourth proportional to 1,317.89, 1,974.80 and 829.94 is: 1,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.89 : 1,974.80 = 829.94 : x
  2. Step 2: Convert to fraction form
    1,317.89/1,974.80 = 829.94/x
  3. Step 3: Cross multiply
    1,317.89x = 1,974.80 × 829.94
  4. Step 4: Simplify right side
    1,317.89x = 1,638,951.49
  5. Step 5: Solve for x
    x = 1,638,951.49/1,317.89
  6. Step 6: Final answer
    x = 1,243.62

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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.