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Finding the Fourth Proportional to 646.40, 963.37 and 645.37

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Solution

The fourth proportional to 646.40, 963.37 and 645.37 is: 961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 963.37 = 645.37 : x
  2. Step 2: Convert to fraction form
    646.40/963.37 = 645.37/x
  3. Step 3: Cross multiply
    646.40x = 963.37 × 645.37
  4. Step 4: Simplify right side
    646.40x = 621,730.10
  5. Step 5: Solve for x
    x = 621,730.10/646.40
  6. Step 6: Final answer
    x = 961.84

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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.