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Finding the Fourth Proportional to 643.32, 964.56 and 354.96

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Solution

The fourth proportional to 643.32, 964.56 and 354.96 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 964.56 = 354.96 : x
  2. Step 2: Convert to fraction form
    643.32/964.56 = 354.96/x
  3. Step 3: Cross multiply
    643.32x = 964.56 × 354.96
  4. Step 4: Simplify right side
    643.32x = 342,380.22
  5. Step 5: Solve for x
    x = 342,380.22/643.32
  6. Step 6: Final answer
    x = 532.21

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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.