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Finding the Fourth Proportional to 785.82, 1,177.62 and 439.14

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Solution

The fourth proportional to 785.82, 1,177.62 and 439.14 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.82 : 1,177.62 = 439.14 : x
  2. Step 2: Convert to fraction form
    785.82/1,177.62 = 439.14/x
  3. Step 3: Cross multiply
    785.82x = 1,177.62 × 439.14
  4. Step 4: Simplify right side
    785.82x = 517,140.05
  5. Step 5: Solve for x
    x = 517,140.05/785.82
  6. Step 6: Final answer
    x = 658.09

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