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Finding the Fourth Proportional to 785.86, 1,084.38 and 449.75

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Solution

The fourth proportional to 785.86, 1,084.38 and 449.75 is: 620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.86 : 1,084.38 = 449.75 : x
  2. Step 2: Convert to fraction form
    785.86/1,084.38 = 449.75/x
  3. Step 3: Cross multiply
    785.86x = 1,084.38 × 449.75
  4. Step 4: Simplify right side
    785.86x = 487,699.91
  5. Step 5: Solve for x
    x = 487,699.91/785.86
  6. Step 6: Final answer
    x = 620.59

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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.