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Finding the Fourth Proportional to 785.97, 1,084.47 and 668.42

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Solution

The fourth proportional to 785.97, 1,084.47 and 668.42 is: 922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.97 : 1,084.47 = 668.42 : x
  2. Step 2: Convert to fraction form
    785.97/1,084.47 = 668.42/x
  3. Step 3: Cross multiply
    785.97x = 1,084.47 × 668.42
  4. Step 4: Simplify right side
    785.97x = 724,876.02
  5. Step 5: Solve for x
    x = 724,876.02/785.97
  6. Step 6: Final answer
    x = 922.27

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1.5x scale

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.