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Finding the Fourth Proportional to 829.86, 1,243.90 and 309.54

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Solution

The fourth proportional to 829.86, 1,243.90 and 309.54 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.86 : 1,243.90 = 309.54 : x
  2. Step 2: Convert to fraction form
    829.86/1,243.90 = 309.54/x
  3. Step 3: Cross multiply
    829.86x = 1,243.90 × 309.54
  4. Step 4: Simplify right side
    829.86x = 385,036.81
  5. Step 5: Solve for x
    x = 385,036.81/829.86
  6. Step 6: Final answer
    x = 463.98

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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.