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Finding the Fourth Proportional to 770.82, 1,156.20 and 193.70

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Solution

The fourth proportional to 770.82, 1,156.20 and 193.70 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,156.20 = 193.70 : x
  2. Step 2: Convert to fraction form
    770.82/1,156.20 = 193.70/x
  3. Step 3: Cross multiply
    770.82x = 1,156.20 × 193.70
  4. Step 4: Simplify right side
    770.82x = 223,955.94
  5. Step 5: Solve for x
    x = 223,955.94/770.82
  6. Step 6: Final answer
    x = 290.54

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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.