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Finding the Fourth Proportional to 646.92, 970.66 and 441.36

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Solution

The fourth proportional to 646.92, 970.66 and 441.36 is: 662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 970.66 = 441.36 : x
  2. Step 2: Convert to fraction form
    646.92/970.66 = 441.36/x
  3. Step 3: Cross multiply
    646.92x = 970.66 × 441.36
  4. Step 4: Simplify right side
    646.92x = 428,410.50
  5. Step 5: Solve for x
    x = 428,410.50/646.92
  6. Step 6: Final answer
    x = 662.23

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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.