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Finding the Fourth Proportional to 646.96, 970.79 and 281.75

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Solution

The fourth proportional to 646.96, 970.79 and 281.75 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 970.79 = 281.75 : x
  2. Step 2: Convert to fraction form
    646.96/970.79 = 281.75/x
  3. Step 3: Cross multiply
    646.96x = 970.79 × 281.75
  4. Step 4: Simplify right side
    646.96x = 273,520.08
  5. Step 5: Solve for x
    x = 273,520.08/646.96
  6. Step 6: Final answer
    x = 422.78

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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.