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Finding the Fourth Proportional to 646.10, 968.75 and 338.06

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Solution

The fourth proportional to 646.10, 968.75 and 338.06 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 968.75 = 338.06 : x
  2. Step 2: Convert to fraction form
    646.10/968.75 = 338.06/x
  3. Step 3: Cross multiply
    646.10x = 968.75 × 338.06
  4. Step 4: Simplify right side
    646.10x = 327,489.09
  5. Step 5: Solve for x
    x = 327,489.09/646.10
  6. Step 6: Final answer
    x = 506.87

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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.