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Finding the Fourth Proportional to 829.30, 1,143.23 and 579.85

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Solution

The fourth proportional to 829.30, 1,143.23 and 579.85 is: 799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.30 : 1,143.23 = 579.85 : x
  2. Step 2: Convert to fraction form
    829.30/1,143.23 = 579.85/x
  3. Step 3: Cross multiply
    829.30x = 1,143.23 × 579.85
  4. Step 4: Simplify right side
    829.30x = 662,893.30
  5. Step 5: Solve for x
    x = 662,893.30/829.30
  6. Step 6: Final answer
    x = 799.34

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Double scale
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1.5x scale

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.