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Finding the Fourth Proportional to 961.70, 1,325.91 and 764.87

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Solution

The fourth proportional to 961.70, 1,325.91 and 764.87 is: 1,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.70 : 1,325.91 = 764.87 : x
  2. Step 2: Convert to fraction form
    961.70/1,325.91 = 764.87/x
  3. Step 3: Cross multiply
    961.70x = 1,325.91 × 764.87
  4. Step 4: Simplify right side
    961.70x = 1,014,142.15
  5. Step 5: Solve for x
    x = 1,014,142.15/961.70
  6. Step 6: Final answer
    x = 1,054.54

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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.