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Finding the Fourth Proportional to 774.69, 1,162.02 and 197.57

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Solution

The fourth proportional to 774.69, 1,162.02 and 197.57 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.69 : 1,162.02 = 197.57 : x
  2. Step 2: Convert to fraction form
    774.69/1,162.02 = 197.57/x
  3. Step 3: Cross multiply
    774.69x = 1,162.02 × 197.57
  4. Step 4: Simplify right side
    774.69x = 229,574.48
  5. Step 5: Solve for x
    x = 229,574.48/774.69
  6. Step 6: Final answer
    x = 296.34

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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.