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Finding the Fourth Proportional to 646.60, 969.38 and 321.79

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Solution

The fourth proportional to 646.60, 969.38 and 321.79 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 969.38 = 321.79 : x
  2. Step 2: Convert to fraction form
    646.60/969.38 = 321.79/x
  3. Step 3: Cross multiply
    646.60x = 969.38 × 321.79
  4. Step 4: Simplify right side
    646.60x = 311,931.94
  5. Step 5: Solve for x
    x = 311,931.94/646.60
  6. Step 6: Final answer
    x = 482.42

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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.