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Finding the Fourth Proportional to 792.59, 1,093.67 and 438.51

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Solution

The fourth proportional to 792.59, 1,093.67 and 438.51 is: 605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.59 : 1,093.67 = 438.51 : x
  2. Step 2: Convert to fraction form
    792.59/1,093.67 = 438.51/x
  3. Step 3: Cross multiply
    792.59x = 1,093.67 × 438.51
  4. Step 4: Simplify right side
    792.59x = 479,588.78
  5. Step 5: Solve for x
    x = 479,588.78/792.59
  6. Step 6: Final answer
    x = 605.09

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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.