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Finding the Fourth Proportional to 1,286.06, 1,929.75 and 555.65

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Solution

The fourth proportional to 1,286.06, 1,929.75 and 555.65 is: 833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.06 : 1,929.75 = 555.65 : x
  2. Step 2: Convert to fraction form
    1,286.06/1,929.75 = 555.65/x
  3. Step 3: Cross multiply
    1,286.06x = 1,929.75 × 555.65
  4. Step 4: Simplify right side
    1,286.06x = 1,072,255.94
  5. Step 5: Solve for x
    x = 1,072,255.94/1,286.06
  6. Step 6: Final answer
    x = 833.76

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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.