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Finding the Fourth Proportional to 785.14, 1,178.22 and 580.22

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Solution

The fourth proportional to 785.14, 1,178.22 and 580.22 is: 870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.14 : 1,178.22 = 580.22 : x
  2. Step 2: Convert to fraction form
    785.14/1,178.22 = 580.22/x
  3. Step 3: Cross multiply
    785.14x = 1,178.22 × 580.22
  4. Step 4: Simplify right side
    785.14x = 683,631.93
  5. Step 5: Solve for x
    x = 683,631.93/785.14
  6. Step 6: Final answer
    x = 870.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.