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Finding the Fourth Proportional to 979.86, 1,352.43 and 629.94

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Solution

The fourth proportional to 979.86, 1,352.43 and 629.94 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.86 : 1,352.43 = 629.94 : x
  2. Step 2: Convert to fraction form
    979.86/1,352.43 = 629.94/x
  3. Step 3: Cross multiply
    979.86x = 1,352.43 × 629.94
  4. Step 4: Simplify right side
    979.86x = 851,951.33
  5. Step 5: Solve for x
    x = 851,951.33/979.86
  6. Step 6: Final answer
    x = 869.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.