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Finding the Fourth Proportional to 1,285, 1,927.59 and 515.50

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Solution

The fourth proportional to 1,285, 1,927.59 and 515.50 is: 773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285 : 1,927.59 = 515.50 : x
  2. Step 2: Convert to fraction form
    1,285/1,927.59 = 515.50/x
  3. Step 3: Cross multiply
    1,285x = 1,927.59 × 515.50
  4. Step 4: Simplify right side
    1,285x = 993,672.65
  5. Step 5: Solve for x
    x = 993,672.65/1,285
  6. Step 6: Final answer
    x = 773.29

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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.