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Finding the Fourth Proportional to 751.92, 1,128.38 and 566.43

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Solution

The fourth proportional to 751.92, 1,128.38 and 566.43 is: 850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.92 : 1,128.38 = 566.43 : x
  2. Step 2: Convert to fraction form
    751.92/1,128.38 = 566.43/x
  3. Step 3: Cross multiply
    751.92x = 1,128.38 × 566.43
  4. Step 4: Simplify right side
    751.92x = 639,145.45
  5. Step 5: Solve for x
    x = 639,145.45/751.92
  6. Step 6: Final answer
    x = 850.02

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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.