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Finding the Fourth Proportional to 792.08, 1,093.13 and 456.04

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Solution

The fourth proportional to 792.08, 1,093.13 and 456.04 is: 629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.08 : 1,093.13 = 456.04 : x
  2. Step 2: Convert to fraction form
    792.08/1,093.13 = 456.04/x
  3. Step 3: Cross multiply
    792.08x = 1,093.13 × 456.04
  4. Step 4: Simplify right side
    792.08x = 498,515.26
  5. Step 5: Solve for x
    x = 498,515.26/792.08
  6. Step 6: Final answer
    x = 629.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.