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Finding the Fourth Proportional to 1,163.49, 1,730.79 and 1,151.76

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Solution

The fourth proportional to 1,163.49, 1,730.79 and 1,151.76 is: 1,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.49 : 1,730.79 = 1,151.76 : x
  2. Step 2: Convert to fraction form
    1,163.49/1,730.79 = 1,151.76/x
  3. Step 3: Cross multiply
    1,163.49x = 1,730.79 × 1,151.76
  4. Step 4: Simplify right side
    1,163.49x = 1,993,454.69
  5. Step 5: Solve for x
    x = 1,993,454.69/1,163.49
  6. Step 6: Final answer
    x = 1,713.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.