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Finding the Fourth Proportional to 785.25, 1,177.89 and 298.53

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Solution

The fourth proportional to 785.25, 1,177.89 and 298.53 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.25 : 1,177.89 = 298.53 : x
  2. Step 2: Convert to fraction form
    785.25/1,177.89 = 298.53/x
  3. Step 3: Cross multiply
    785.25x = 1,177.89 × 298.53
  4. Step 4: Simplify right side
    785.25x = 351,635.50
  5. Step 5: Solve for x
    x = 351,635.50/785.25
  6. Step 6: Final answer
    x = 447.80

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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.