Home / 1,165.26-1,749.10-516.45

Finding the Fourth Proportional to 1,165.26, 1,749.10 and 516.45

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Solution

The fourth proportional to 1,165.26, 1,749.10 and 516.45 is: 775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.26 : 1,749.10 = 516.45 : x
  2. Step 2: Convert to fraction form
    1,165.26/1,749.10 = 516.45/x
  3. Step 3: Cross multiply
    1,165.26x = 1,749.10 × 516.45
  4. Step 4: Simplify right side
    1,165.26x = 903,312.66
  5. Step 5: Solve for x
    x = 903,312.66/1,165.26
  6. Step 6: Final answer
    x = 775.21

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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.