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Finding the Fourth Proportional to 961.42, 1,325.64 and 673.24

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Solution

The fourth proportional to 961.42, 1,325.64 and 673.24 is: 928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.42 : 1,325.64 = 673.24 : x
  2. Step 2: Convert to fraction form
    961.42/1,325.64 = 673.24/x
  3. Step 3: Cross multiply
    961.42x = 1,325.64 × 673.24
  4. Step 4: Simplify right side
    961.42x = 892,473.87
  5. Step 5: Solve for x
    x = 892,473.87/961.42
  6. Step 6: Final answer
    x = 928.29

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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.