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Finding the Fourth Proportional to 827.90, 1,242.07 and 280.01

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Solution

The fourth proportional to 827.90, 1,242.07 and 280.01 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,242.07 = 280.01 : x
  2. Step 2: Convert to fraction form
    827.90/1,242.07 = 280.01/x
  3. Step 3: Cross multiply
    827.90x = 1,242.07 × 280.01
  4. Step 4: Simplify right side
    827.90x = 347,786.51
  5. Step 5: Solve for x
    x = 347,786.51/827.90
  6. Step 6: Final answer
    x = 420.08

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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.