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Finding the Fourth Proportional to 774.68, 1,161.96 and 197.50

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Solution

The fourth proportional to 774.68, 1,161.96 and 197.50 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.68 : 1,161.96 = 197.50 : x
  2. Step 2: Convert to fraction form
    774.68/1,161.96 = 197.50/x
  3. Step 3: Cross multiply
    774.68x = 1,161.96 × 197.50
  4. Step 4: Simplify right side
    774.68x = 229,487.10
  5. Step 5: Solve for x
    x = 229,487.10/774.68
  6. Step 6: Final answer
    x = 296.23

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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.