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Finding the Fourth Proportional to 785.14, 1,084.18 and 576.50

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Solution

The fourth proportional to 785.14, 1,084.18 and 576.50 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.14 : 1,084.18 = 576.50 : x
  2. Step 2: Convert to fraction form
    785.14/1,084.18 = 576.50/x
  3. Step 3: Cross multiply
    785.14x = 1,084.18 × 576.50
  4. Step 4: Simplify right side
    785.14x = 625,029.77
  5. Step 5: Solve for x
    x = 625,029.77/785.14
  6. Step 6: Final answer
    x = 796.07

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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.