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Finding the Fourth Proportional to 785.60, 1,178.32 and 298.48

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Solution

The fourth proportional to 785.60, 1,178.32 and 298.48 is: 447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.60 : 1,178.32 = 298.48 : x
  2. Step 2: Convert to fraction form
    785.60/1,178.32 = 298.48/x
  3. Step 3: Cross multiply
    785.60x = 1,178.32 × 298.48
  4. Step 4: Simplify right side
    785.60x = 351,704.95
  5. Step 5: Solve for x
    x = 351,704.95/785.60
  6. Step 6: Final answer
    x = 447.69

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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.