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Finding the Fourth Proportional to 829.49, 1,245.11 and 342.86

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Solution

The fourth proportional to 829.49, 1,245.11 and 342.86 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.49 : 1,245.11 = 342.86 : x
  2. Step 2: Convert to fraction form
    829.49/1,245.11 = 342.86/x
  3. Step 3: Cross multiply
    829.49x = 1,245.11 × 342.86
  4. Step 4: Simplify right side
    829.49x = 426,890.47
  5. Step 5: Solve for x
    x = 426,890.47/829.49
  6. Step 6: Final answer
    x = 514.65

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Double scale
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1.5x scale

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.