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Finding the Fourth Proportional to 646.29, 969.71 and 321.89

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Solution

The fourth proportional to 646.29, 969.71 and 321.89 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 969.71 = 321.89 : x
  2. Step 2: Convert to fraction form
    646.29/969.71 = 321.89/x
  3. Step 3: Cross multiply
    646.29x = 969.71 × 321.89
  4. Step 4: Simplify right side
    646.29x = 312,133.49
  5. Step 5: Solve for x
    x = 312,133.49/646.29
  6. Step 6: Final answer
    x = 482.96

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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.