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Finding the Fourth Proportional to 646.34, 965.12 and 628.83

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Solution

The fourth proportional to 646.34, 965.12 and 628.83 is: 938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 965.12 = 628.83 : x
  2. Step 2: Convert to fraction form
    646.34/965.12 = 628.83/x
  3. Step 3: Cross multiply
    646.34x = 965.12 × 628.83
  4. Step 4: Simplify right side
    646.34x = 606,895.15
  5. Step 5: Solve for x
    x = 606,895.15/646.34
  6. Step 6: Final answer
    x = 938.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.