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Finding the Fourth Proportional to 961.02, 1,440.09 and 936.87

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Solution

The fourth proportional to 961.02, 1,440.09 and 936.87 is: 1,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.02 : 1,440.09 = 936.87 : x
  2. Step 2: Convert to fraction form
    961.02/1,440.09 = 936.87/x
  3. Step 3: Cross multiply
    961.02x = 1,440.09 × 936.87
  4. Step 4: Simplify right side
    961.02x = 1,349,177.12
  5. Step 5: Solve for x
    x = 1,349,177.12/961.02
  6. Step 6: Final answer
    x = 1,403.90

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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.