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Finding the Fourth Proportional to 1,355.45, 1,867.86 and 961.79

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Solution

The fourth proportional to 1,355.45, 1,867.86 and 961.79 is: 1,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.45 : 1,867.86 = 961.79 : x
  2. Step 2: Convert to fraction form
    1,355.45/1,867.86 = 961.79/x
  3. Step 3: Cross multiply
    1,355.45x = 1,867.86 × 961.79
  4. Step 4: Simplify right side
    1,355.45x = 1,796,479.73
  5. Step 5: Solve for x
    x = 1,796,479.73/1,355.45
  6. Step 6: Final answer
    x = 1,325.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.