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Finding the Fourth Proportional to 856.94, 1,284.50 and 423.19

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Solution

The fourth proportional to 856.94, 1,284.50 and 423.19 is: 634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.94 : 1,284.50 = 423.19 : x
  2. Step 2: Convert to fraction form
    856.94/1,284.50 = 423.19/x
  3. Step 3: Cross multiply
    856.94x = 1,284.50 × 423.19
  4. Step 4: Simplify right side
    856.94x = 543,585.40
  5. Step 5: Solve for x
    x = 543,585.40/856.94
  6. Step 6: Final answer
    x = 634.33

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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.