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Finding the Fourth Proportional to 781.70, 1,174.77 and 729.09

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Solution

The fourth proportional to 781.70, 1,174.77 and 729.09 is: 1,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.70 : 1,174.77 = 729.09 : x
  2. Step 2: Convert to fraction form
    781.70/1,174.77 = 729.09/x
  3. Step 3: Cross multiply
    781.70x = 1,174.77 × 729.09
  4. Step 4: Simplify right side
    781.70x = 856,513.06
  5. Step 5: Solve for x
    x = 856,513.06/781.70
  6. Step 6: Final answer
    x = 1,095.71

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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.