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Finding the Fourth Proportional to 785.41, 1,177.09 and 438.73

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Solution

The fourth proportional to 785.41, 1,177.09 and 438.73 is: 657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.41 : 1,177.09 = 438.73 : x
  2. Step 2: Convert to fraction form
    785.41/1,177.09 = 438.73/x
  3. Step 3: Cross multiply
    785.41x = 1,177.09 × 438.73
  4. Step 4: Simplify right side
    785.41x = 516,424.70
  5. Step 5: Solve for x
    x = 516,424.70/785.41
  6. Step 6: Final answer
    x = 657.52

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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.