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Finding the Fourth Proportional to 643.15, 964.14 and 334.64

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Solution

The fourth proportional to 643.15, 964.14 and 334.64 is: 501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.15 : 964.14 = 334.64 : x
  2. Step 2: Convert to fraction form
    643.15/964.14 = 334.64/x
  3. Step 3: Cross multiply
    643.15x = 964.14 × 334.64
  4. Step 4: Simplify right side
    643.15x = 322,639.81
  5. Step 5: Solve for x
    x = 322,639.81/643.15
  6. Step 6: Final answer
    x = 501.66

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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.