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Finding the Fourth Proportional to 964.11, 1,329.14 and 609.85

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Solution

The fourth proportional to 964.11, 1,329.14 and 609.85 is: 840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.11 : 1,329.14 = 609.85 : x
  2. Step 2: Convert to fraction form
    964.11/1,329.14 = 609.85/x
  3. Step 3: Cross multiply
    964.11x = 1,329.14 × 609.85
  4. Step 4: Simplify right side
    964.11x = 810,576.03
  5. Step 5: Solve for x
    x = 810,576.03/964.11
  6. Step 6: Final answer
    x = 840.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.