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Finding the Fourth Proportional to 646.90, 968.41 and 576.86

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Solution

The fourth proportional to 646.90, 968.41 and 576.86 is: 863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.90 : 968.41 = 576.86 : x
  2. Step 2: Convert to fraction form
    646.90/968.41 = 576.86/x
  3. Step 3: Cross multiply
    646.90x = 968.41 × 576.86
  4. Step 4: Simplify right side
    646.90x = 558,629.63
  5. Step 5: Solve for x
    x = 558,629.63/646.90
  6. Step 6: Final answer
    x = 863.54

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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.