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Finding the Fourth Proportional to 646.16, 968.70 and 280.68

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Solution

The fourth proportional to 646.16, 968.70 and 280.68 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 968.70 = 280.68 : x
  2. Step 2: Convert to fraction form
    646.16/968.70 = 280.68/x
  3. Step 3: Cross multiply
    646.16x = 968.70 × 280.68
  4. Step 4: Simplify right side
    646.16x = 271,890.56
  5. Step 5: Solve for x
    x = 271,890.56/646.16
  6. Step 6: Final answer
    x = 420.78

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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.