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Finding the Fourth Proportional to 642.38, 964.26 and 318.43

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Solution

The fourth proportional to 642.38, 964.26 and 318.43 is: 477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.38 : 964.26 = 318.43 : x
  2. Step 2: Convert to fraction form
    642.38/964.26 = 318.43/x
  3. Step 3: Cross multiply
    642.38x = 964.26 × 318.43
  4. Step 4: Simplify right side
    642.38x = 307,045.71
  5. Step 5: Solve for x
    x = 307,045.71/642.38
  6. Step 6: Final answer
    x = 477.99

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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.