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Finding the Fourth Proportional to 641.80, 962.34 and 312.64

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Solution

The fourth proportional to 641.80, 962.34 and 312.64 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.80 : 962.34 = 312.64 : x
  2. Step 2: Convert to fraction form
    641.80/962.34 = 312.64/x
  3. Step 3: Cross multiply
    641.80x = 962.34 × 312.64
  4. Step 4: Simplify right side
    641.80x = 300,865.98
  5. Step 5: Solve for x
    x = 300,865.98/641.80
  6. Step 6: Final answer
    x = 468.78

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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.