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Finding the Fourth Proportional to 829.50, 1,242.20 and 439.86

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Solution

The fourth proportional to 829.50, 1,242.20 and 439.86 is: 658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.50 : 1,242.20 = 439.86 : x
  2. Step 2: Convert to fraction form
    829.50/1,242.20 = 439.86/x
  3. Step 3: Cross multiply
    829.50x = 1,242.20 × 439.86
  4. Step 4: Simplify right side
    829.50x = 546,394.09
  5. Step 5: Solve for x
    x = 546,394.09/829.50
  6. Step 6: Final answer
    x = 658.70

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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.