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Finding the Fourth Proportional to 642.36, 964.16 and 334.43

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Solution

The fourth proportional to 642.36, 964.16 and 334.43 is: 501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.36 : 964.16 = 334.43 : x
  2. Step 2: Convert to fraction form
    642.36/964.16 = 334.43/x
  3. Step 3: Cross multiply
    642.36x = 964.16 × 334.43
  4. Step 4: Simplify right side
    642.36x = 322,444.03
  5. Step 5: Solve for x
    x = 322,444.03/642.36
  6. Step 6: Final answer
    x = 501.97

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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.