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Finding the Fourth Proportional to 646.85, 969.90 and 338.37

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Solution

The fourth proportional to 646.85, 969.90 and 338.37 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.85 : 969.90 = 338.37 : x
  2. Step 2: Convert to fraction form
    646.85/969.90 = 338.37/x
  3. Step 3: Cross multiply
    646.85x = 969.90 × 338.37
  4. Step 4: Simplify right side
    646.85x = 328,185.06
  5. Step 5: Solve for x
    x = 328,185.06/646.85
  6. Step 6: Final answer
    x = 507.36

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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.