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Finding the Fourth Proportional to 856, 1,284.30 and 423.46

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Solution

The fourth proportional to 856, 1,284.30 and 423.46 is: 635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,284.30 = 423.46 : x
  2. Step 2: Convert to fraction form
    856/1,284.30 = 423.46/x
  3. Step 3: Cross multiply
    856x = 1,284.30 × 423.46
  4. Step 4: Simplify right side
    856x = 543,849.68
  5. Step 5: Solve for x
    x = 543,849.68/856
  6. Step 6: Final answer
    x = 635.34

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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.