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Finding the Fourth Proportional to 829.13, 1,142.21 and 579.98

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Solution

The fourth proportional to 829.13, 1,142.21 and 579.98 is: 798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,142.21 = 579.98 : x
  2. Step 2: Convert to fraction form
    829.13/1,142.21 = 579.98/x
  3. Step 3: Cross multiply
    829.13x = 1,142.21 × 579.98
  4. Step 4: Simplify right side
    829.13x = 662,450.34
  5. Step 5: Solve for x
    x = 662,450.34/829.13
  6. Step 6: Final answer
    x = 798.98

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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.