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Finding the Fourth Proportional to 1,170.23, 1,614.89 and 771.41

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Solution

The fourth proportional to 1,170.23, 1,614.89 and 771.41 is: 1,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.23 : 1,614.89 = 771.41 : x
  2. Step 2: Convert to fraction form
    1,170.23/1,614.89 = 771.41/x
  3. Step 3: Cross multiply
    1,170.23x = 1,614.89 × 771.41
  4. Step 4: Simplify right side
    1,170.23x = 1,245,742.29
  5. Step 5: Solve for x
    x = 1,245,742.29/1,170.23
  6. Step 6: Final answer
    x = 1,064.53

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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.