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Finding the Fourth Proportional to 643.42, 964.18 and 295.90

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Solution

The fourth proportional to 643.42, 964.18 and 295.90 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.42 : 964.18 = 295.90 : x
  2. Step 2: Convert to fraction form
    643.42/964.18 = 295.90/x
  3. Step 3: Cross multiply
    643.42x = 964.18 × 295.90
  4. Step 4: Simplify right side
    643.42x = 285,300.86
  5. Step 5: Solve for x
    x = 285,300.86/643.42
  6. Step 6: Final answer
    x = 443.41

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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.