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Finding the Fourth Proportional to 646.02, 969.60 and 338.28

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Solution

The fourth proportional to 646.02, 969.60 and 338.28 is: 507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 969.60 = 338.28 : x
  2. Step 2: Convert to fraction form
    646.02/969.60 = 338.28/x
  3. Step 3: Cross multiply
    646.02x = 969.60 × 338.28
  4. Step 4: Simplify right side
    646.02x = 327,996.29
  5. Step 5: Solve for x
    x = 327,996.29/646.02
  6. Step 6: Final answer
    x = 507.72

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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.