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Finding the Fourth Proportional to 785.70, 1,170.72 and 699.50

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Solution

The fourth proportional to 785.70, 1,170.72 and 699.50 is: 1,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.70 : 1,170.72 = 699.50 : x
  2. Step 2: Convert to fraction form
    785.70/1,170.72 = 699.50/x
  3. Step 3: Cross multiply
    785.70x = 1,170.72 × 699.50
  4. Step 4: Simplify right side
    785.70x = 818,921.57
  5. Step 5: Solve for x
    x = 818,921.57/785.70
  6. Step 6: Final answer
    x = 1,042.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.