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Finding the Fourth Proportional to 1,729.11, 2,593.64 and 430.59

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Solution

The fourth proportional to 1,729.11, 2,593.64 and 430.59 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.11 : 2,593.64 = 430.59 : x
  2. Step 2: Convert to fraction form
    1,729.11/2,593.64 = 430.59/x
  3. Step 3: Cross multiply
    1,729.11x = 2,593.64 × 430.59
  4. Step 4: Simplify right side
    1,729.11x = 1,116,780.33
  5. Step 5: Solve for x
    x = 1,116,780.33/1,729.11
  6. Step 6: Final answer
    x = 645.87

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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.