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Finding the Fourth Proportional to 642.05, 964.17 and 609.17

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Solution

The fourth proportional to 642.05, 964.17 and 609.17 is: 914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.05 : 964.17 = 609.17 : x
  2. Step 2: Convert to fraction form
    642.05/964.17 = 609.17/x
  3. Step 3: Cross multiply
    642.05x = 964.17 × 609.17
  4. Step 4: Simplify right side
    642.05x = 587,340.39
  5. Step 5: Solve for x
    x = 587,340.39/642.05
  6. Step 6: Final answer
    x = 914.79

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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.