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Finding the Fourth Proportional to 785.05, 1,171.76 and 692.80

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Solution

The fourth proportional to 785.05, 1,171.76 and 692.80 is: 1,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.05 : 1,171.76 = 692.80 : x
  2. Step 2: Convert to fraction form
    785.05/1,171.76 = 692.80/x
  3. Step 3: Cross multiply
    785.05x = 1,171.76 × 692.80
  4. Step 4: Simplify right side
    785.05x = 811,795.33
  5. Step 5: Solve for x
    x = 811,795.33/785.05
  6. Step 6: Final answer
    x = 1,034.07

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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.