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Finding the Fourth Proportional to 1,165.95, 1,749.54 and 516.75

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Solution

The fourth proportional to 1,165.95, 1,749.54 and 516.75 is: 775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.95 : 1,749.54 = 516.75 : x
  2. Step 2: Convert to fraction form
    1,165.95/1,749.54 = 516.75/x
  3. Step 3: Cross multiply
    1,165.95x = 1,749.54 × 516.75
  4. Step 4: Simplify right side
    1,165.95x = 904,074.80
  5. Step 5: Solve for x
    x = 904,074.80/1,165.95
  6. Step 6: Final answer
    x = 775.40

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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.