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Finding the Fourth Proportional to 785.73, 1,177.74 and 419.61

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Solution

The fourth proportional to 785.73, 1,177.74 and 419.61 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.73 : 1,177.74 = 419.61 : x
  2. Step 2: Convert to fraction form
    785.73/1,177.74 = 419.61/x
  3. Step 3: Cross multiply
    785.73x = 1,177.74 × 419.61
  4. Step 4: Simplify right side
    785.73x = 494,191.48
  5. Step 5: Solve for x
    x = 494,191.48/785.73
  6. Step 6: Final answer
    x = 628.96

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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.