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Finding the Fourth Proportional to 785.97, 1,084.64 and 431.91

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Solution

The fourth proportional to 785.97, 1,084.64 and 431.91 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.97 : 1,084.64 = 431.91 : x
  2. Step 2: Convert to fraction form
    785.97/1,084.64 = 431.91/x
  3. Step 3: Cross multiply
    785.97x = 1,084.64 × 431.91
  4. Step 4: Simplify right side
    785.97x = 468,464.70
  5. Step 5: Solve for x
    x = 468,464.70/785.97
  6. Step 6: Final answer
    x = 596.03

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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.