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Finding the Fourth Proportional to 1,306.93, 1,960.85 and 577.03

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Solution

The fourth proportional to 1,306.93, 1,960.85 and 577.03 is: 865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.93 : 1,960.85 = 577.03 : x
  2. Step 2: Convert to fraction form
    1,306.93/1,960.85 = 577.03/x
  3. Step 3: Cross multiply
    1,306.93x = 1,960.85 × 577.03
  4. Step 4: Simplify right side
    1,306.93x = 1,131,469.28
  5. Step 5: Solve for x
    x = 1,131,469.28/1,306.93
  6. Step 6: Final answer
    x = 865.75

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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.