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Finding the Fourth Proportional to 785.90, 1,178.23 and 352.75

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Solution

The fourth proportional to 785.90, 1,178.23 and 352.75 is: 528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.90 : 1,178.23 = 352.75 : x
  2. Step 2: Convert to fraction form
    785.90/1,178.23 = 352.75/x
  3. Step 3: Cross multiply
    785.90x = 1,178.23 × 352.75
  4. Step 4: Simplify right side
    785.90x = 415,620.63
  5. Step 5: Solve for x
    x = 415,620.63/785.90
  6. Step 6: Final answer
    x = 528.85

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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.