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Finding the Fourth Proportional to 858.63, 1,286.72 and 425.29

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Solution

The fourth proportional to 858.63, 1,286.72 and 425.29 is: 637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.63 : 1,286.72 = 425.29 : x
  2. Step 2: Convert to fraction form
    858.63/1,286.72 = 425.29/x
  3. Step 3: Cross multiply
    858.63x = 1,286.72 × 425.29
  4. Step 4: Simplify right side
    858.63x = 547,227.02
  5. Step 5: Solve for x
    x = 547,227.02/858.63
  6. Step 6: Final answer
    x = 637.33

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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.