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Finding the Fourth Proportional to 852.14, 1,277.76 and 389.63

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Solution

The fourth proportional to 852.14, 1,277.76 and 389.63 is: 584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.14 : 1,277.76 = 389.63 : x
  2. Step 2: Convert to fraction form
    852.14/1,277.76 = 389.63/x
  3. Step 3: Cross multiply
    852.14x = 1,277.76 × 389.63
  4. Step 4: Simplify right side
    852.14x = 497,853.63
  5. Step 5: Solve for x
    x = 497,853.63/852.14
  6. Step 6: Final answer
    x = 584.24

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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.