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Finding the Fourth Proportional to 852.09, 1,277.28 and 412.71

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Solution

The fourth proportional to 852.09, 1,277.28 and 412.71 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.09 : 1,277.28 = 412.71 : x
  2. Step 2: Convert to fraction form
    852.09/1,277.28 = 412.71/x
  3. Step 3: Cross multiply
    852.09x = 1,277.28 × 412.71
  4. Step 4: Simplify right side
    852.09x = 527,146.23
  5. Step 5: Solve for x
    x = 527,146.23/852.09
  6. Step 6: Final answer
    x = 618.65

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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.