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Finding the Fourth Proportional to 785.11, 1,083.26 and 470.33

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Solution

The fourth proportional to 785.11, 1,083.26 and 470.33 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.11 : 1,083.26 = 470.33 : x
  2. Step 2: Convert to fraction form
    785.11/1,083.26 = 470.33/x
  3. Step 3: Cross multiply
    785.11x = 1,083.26 × 470.33
  4. Step 4: Simplify right side
    785.11x = 509,489.68
  5. Step 5: Solve for x
    x = 509,489.68/785.11
  6. Step 6: Final answer
    x = 648.94

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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.