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Finding the Fourth Proportional to 646.06, 968.46 and 280.78

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Solution

The fourth proportional to 646.06, 968.46 and 280.78 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.06 : 968.46 = 280.78 : x
  2. Step 2: Convert to fraction form
    646.06/968.46 = 280.78/x
  3. Step 3: Cross multiply
    646.06x = 968.46 × 280.78
  4. Step 4: Simplify right side
    646.06x = 271,924.20
  5. Step 5: Solve for x
    x = 271,924.20/646.06
  6. Step 6: Final answer
    x = 420.90

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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.