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Finding the Fourth Proportional to 827.26, 1,242.51 and 730.06

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Solution

The fourth proportional to 827.26, 1,242.51 and 730.06 is: 1,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.26 : 1,242.51 = 730.06 : x
  2. Step 2: Convert to fraction form
    827.26/1,242.51 = 730.06/x
  3. Step 3: Cross multiply
    827.26x = 1,242.51 × 730.06
  4. Step 4: Simplify right side
    827.26x = 907,106.85
  5. Step 5: Solve for x
    x = 907,106.85/827.26
  6. Step 6: Final answer
    x = 1,096.52

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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.