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Finding the Fourth Proportional to 643.16, 964.98 and 334.86

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Solution

The fourth proportional to 643.16, 964.98 and 334.86 is: 502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 964.98 = 334.86 : x
  2. Step 2: Convert to fraction form
    643.16/964.98 = 334.86/x
  3. Step 3: Cross multiply
    643.16x = 964.98 × 334.86
  4. Step 4: Simplify right side
    643.16x = 323,133.20
  5. Step 5: Solve for x
    x = 323,133.20/643.16
  6. Step 6: Final answer
    x = 502.42

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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.