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Finding the Fourth Proportional to 852.67, 1,279.50 and 384.13

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Solution

The fourth proportional to 852.67, 1,279.50 and 384.13 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.67 : 1,279.50 = 384.13 : x
  2. Step 2: Convert to fraction form
    852.67/1,279.50 = 384.13/x
  3. Step 3: Cross multiply
    852.67x = 1,279.50 × 384.13
  4. Step 4: Simplify right side
    852.67x = 491,494.34
  5. Step 5: Solve for x
    x = 491,494.34/852.67
  6. Step 6: Final answer
    x = 576.42

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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.