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Finding the Fourth Proportional to 646.83, 969.92 and 338.39

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Solution

The fourth proportional to 646.83, 969.92 and 338.39 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.83 : 969.92 = 338.39 : x
  2. Step 2: Convert to fraction form
    646.83/969.92 = 338.39/x
  3. Step 3: Cross multiply
    646.83x = 969.92 × 338.39
  4. Step 4: Simplify right side
    646.83x = 328,204.69
  5. Step 5: Solve for x
    x = 328,204.69/646.83
  6. Step 6: Final answer
    x = 507.40

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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.