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Finding the Fourth Proportional to 785.77, 1,179.45 and 323.83

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Solution

The fourth proportional to 785.77, 1,179.45 and 323.83 is: 486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,179.45 = 323.83 : x
  2. Step 2: Convert to fraction form
    785.77/1,179.45 = 323.83/x
  3. Step 3: Cross multiply
    785.77x = 1,179.45 × 323.83
  4. Step 4: Simplify right side
    785.77x = 381,935.40
  5. Step 5: Solve for x
    x = 381,935.40/785.77
  6. Step 6: Final answer
    x = 486.07

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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.