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Finding the Fourth Proportional to 770.71, 1,156.07 and 193.59

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Solution

The fourth proportional to 770.71, 1,156.07 and 193.59 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,156.07 = 193.59 : x
  2. Step 2: Convert to fraction form
    770.71/1,156.07 = 193.59/x
  3. Step 3: Cross multiply
    770.71x = 1,156.07 × 193.59
  4. Step 4: Simplify right side
    770.71x = 223,803.59
  5. Step 5: Solve for x
    x = 223,803.59/770.71
  6. Step 6: Final answer
    x = 290.39

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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.