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Finding the Fourth Proportional to 1,164.26, 1,605.99 and 721.85

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Solution

The fourth proportional to 1,164.26, 1,605.99 and 721.85 is: 995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.26 : 1,605.99 = 721.85 : x
  2. Step 2: Convert to fraction form
    1,164.26/1,605.99 = 721.85/x
  3. Step 3: Cross multiply
    1,164.26x = 1,605.99 × 721.85
  4. Step 4: Simplify right side
    1,164.26x = 1,159,278.56
  5. Step 5: Solve for x
    x = 1,159,278.56/1,164.26
  6. Step 6: Final answer
    x = 995.72

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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.