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Finding the Fourth Proportional to 646.75, 969.39 and 415.09

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Solution

The fourth proportional to 646.75, 969.39 and 415.09 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.75 : 969.39 = 415.09 : x
  2. Step 2: Convert to fraction form
    646.75/969.39 = 415.09/x
  3. Step 3: Cross multiply
    646.75x = 969.39 × 415.09
  4. Step 4: Simplify right side
    646.75x = 402,384.10
  5. Step 5: Solve for x
    x = 402,384.10/646.75
  6. Step 6: Final answer
    x = 622.16

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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.