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Finding the Fourth Proportional to 1,094.12, 1,640.38 and 516.52

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Solution

The fourth proportional to 1,094.12, 1,640.38 and 516.52 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.12 : 1,640.38 = 516.52 : x
  2. Step 2: Convert to fraction form
    1,094.12/1,640.38 = 516.52/x
  3. Step 3: Cross multiply
    1,094.12x = 1,640.38 × 516.52
  4. Step 4: Simplify right side
    1,094.12x = 847,289.08
  5. Step 5: Solve for x
    x = 847,289.08/1,094.12
  6. Step 6: Final answer
    x = 774.40

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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.