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Finding the Fourth Proportional to 646.72, 968.30 and 451.92

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Solution

The fourth proportional to 646.72, 968.30 and 451.92 is: 676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.72 : 968.30 = 451.92 : x
  2. Step 2: Convert to fraction form
    646.72/968.30 = 451.92/x
  3. Step 3: Cross multiply
    646.72x = 968.30 × 451.92
  4. Step 4: Simplify right side
    646.72x = 437,594.14
  5. Step 5: Solve for x
    x = 437,594.14/646.72
  6. Step 6: Final answer
    x = 676.64

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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.