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Finding the Fourth Proportional to 979.22, 1,465.97 and 748.98

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Solution

The fourth proportional to 979.22, 1,465.97 and 748.98 is: 1,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,465.97 = 748.98 : x
  2. Step 2: Convert to fraction form
    979.22/1,465.97 = 748.98/x
  3. Step 3: Cross multiply
    979.22x = 1,465.97 × 748.98
  4. Step 4: Simplify right side
    979.22x = 1,097,978.47
  5. Step 5: Solve for x
    x = 1,097,978.47/979.22
  6. Step 6: Final answer
    x = 1,121.28

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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.