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Finding the Fourth Proportional to 652.65, 986.37 and 641.31

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Solution

The fourth proportional to 652.65, 986.37 and 641.31 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.65 : 986.37 = 641.31 : x
  2. Step 2: Convert to fraction form
    652.65/986.37 = 641.31/x
  3. Step 3: Cross multiply
    652.65x = 986.37 × 641.31
  4. Step 4: Simplify right side
    652.65x = 632,568.94
  5. Step 5: Solve for x
    x = 632,568.94/652.65
  6. Step 6: Final answer
    x = 969.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.