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Finding the Fourth Proportional to 829.11, 1,242.87 and 280.94

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Solution

The fourth proportional to 829.11, 1,242.87 and 280.94 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.11 : 1,242.87 = 280.94 : x
  2. Step 2: Convert to fraction form
    829.11/1,242.87 = 280.94/x
  3. Step 3: Cross multiply
    829.11x = 1,242.87 × 280.94
  4. Step 4: Simplify right side
    829.11x = 349,164.63
  5. Step 5: Solve for x
    x = 349,164.63/829.11
  6. Step 6: Final answer
    x = 421.13

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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.