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Finding the Fourth Proportional to 642.64, 964.11 and 334.66

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Solution

The fourth proportional to 642.64, 964.11 and 334.66 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 964.11 = 334.66 : x
  2. Step 2: Convert to fraction form
    642.64/964.11 = 334.66/x
  3. Step 3: Cross multiply
    642.64x = 964.11 × 334.66
  4. Step 4: Simplify right side
    642.64x = 322,649.05
  5. Step 5: Solve for x
    x = 322,649.05/642.64
  6. Step 6: Final answer
    x = 502.07

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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.