Home / 1,729.12-2,593.67-430.58

Finding the Fourth Proportional to 1,729.12, 2,593.67 and 430.58

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Solution

The fourth proportional to 1,729.12, 2,593.67 and 430.58 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.12 : 2,593.67 = 430.58 : x
  2. Step 2: Convert to fraction form
    1,729.12/2,593.67 = 430.58/x
  3. Step 3: Cross multiply
    1,729.12x = 2,593.67 × 430.58
  4. Step 4: Simplify right side
    1,729.12x = 1,116,782.43
  5. Step 5: Solve for x
    x = 1,116,782.43/1,729.12
  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.