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Finding the Fourth Proportional to 961.14, 1,439.64 and 651.29

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Solution

The fourth proportional to 961.14, 1,439.64 and 651.29 is: 975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.14 : 1,439.64 = 651.29 : x
  2. Step 2: Convert to fraction form
    961.14/1,439.64 = 651.29/x
  3. Step 3: Cross multiply
    961.14x = 1,439.64 × 651.29
  4. Step 4: Simplify right side
    961.14x = 937,626.73
  5. Step 5: Solve for x
    x = 937,626.73/961.14
  6. Step 6: Final answer
    x = 975.54

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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.