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Finding the Fourth Proportional to 774.05, 1,158.57 and 733.95

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Solution

The fourth proportional to 774.05, 1,158.57 and 733.95 is: 1,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.05 : 1,158.57 = 733.95 : x
  2. Step 2: Convert to fraction form
    774.05/1,158.57 = 733.95/x
  3. Step 3: Cross multiply
    774.05x = 1,158.57 × 733.95
  4. Step 4: Simplify right side
    774.05x = 850,332.45
  5. Step 5: Solve for x
    x = 850,332.45/774.05
  6. Step 6: Final answer
    x = 1,098.56

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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.