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Finding the Fourth Proportional to 785.60, 1,179.24 and 694.88

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Solution

The fourth proportional to 785.60, 1,179.24 and 694.88 is: 1,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.60 : 1,179.24 = 694.88 : x
  2. Step 2: Convert to fraction form
    785.60/1,179.24 = 694.88/x
  3. Step 3: Cross multiply
    785.60x = 1,179.24 × 694.88
  4. Step 4: Simplify right side
    785.60x = 819,430.29
  5. Step 5: Solve for x
    x = 819,430.29/785.60
  6. Step 6: Final answer
    x = 1,043.06

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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.