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Finding the Fourth Proportional to 794.71, 1,192.26 and 428.99

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Solution

The fourth proportional to 794.71, 1,192.26 and 428.99 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.71 : 1,192.26 = 428.99 : x
  2. Step 2: Convert to fraction form
    794.71/1,192.26 = 428.99/x
  3. Step 3: Cross multiply
    794.71x = 1,192.26 × 428.99
  4. Step 4: Simplify right side
    794.71x = 511,467.62
  5. Step 5: Solve for x
    x = 511,467.62/794.71
  6. Step 6: Final answer
    x = 643.59

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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.