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Finding the Fourth Proportional to 1,980.65, 2,971.64 and 748.42

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Solution

The fourth proportional to 1,980.65, 2,971.64 and 748.42 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.65 : 2,971.64 = 748.42 : x
  2. Step 2: Convert to fraction form
    1,980.65/2,971.64 = 748.42/x
  3. Step 3: Cross multiply
    1,980.65x = 2,971.64 × 748.42
  4. Step 4: Simplify right side
    1,980.65x = 2,224,029.25
  5. Step 5: Solve for x
    x = 2,224,029.25/1,980.65
  6. Step 6: Final answer
    x = 1,122.88

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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.