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Finding the Fourth Proportional to 829.22, 1,143.12 and 580.16

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Solution

The fourth proportional to 829.22, 1,143.12 and 580.16 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.22 : 1,143.12 = 580.16 : x
  2. Step 2: Convert to fraction form
    829.22/1,143.12 = 580.16/x
  3. Step 3: Cross multiply
    829.22x = 1,143.12 × 580.16
  4. Step 4: Simplify right side
    829.22x = 663,192.50
  5. Step 5: Solve for x
    x = 663,192.50/829.22
  6. Step 6: Final answer
    x = 799.78

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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.