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Finding the Fourth Proportional to 785.84, 1,084.55 and 516.89

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Solution

The fourth proportional to 785.84, 1,084.55 and 516.89 is: 713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,084.55 = 516.89 : x
  2. Step 2: Convert to fraction form
    785.84/1,084.55 = 516.89/x
  3. Step 3: Cross multiply
    785.84x = 1,084.55 × 516.89
  4. Step 4: Simplify right side
    785.84x = 560,585.04
  5. Step 5: Solve for x
    x = 560,585.04/785.84
  6. Step 6: Final answer
    x = 713.36

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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.