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Finding the Fourth Proportional to 850.19, 1,275.09 and 387.83

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Solution

The fourth proportional to 850.19, 1,275.09 and 387.83 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.19 : 1,275.09 = 387.83 : x
  2. Step 2: Convert to fraction form
    850.19/1,275.09 = 387.83/x
  3. Step 3: Cross multiply
    850.19x = 1,275.09 × 387.83
  4. Step 4: Simplify right side
    850.19x = 494,511.78
  5. Step 5: Solve for x
    x = 494,511.78/850.19
  6. Step 6: Final answer
    x = 581.65

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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.