Home / 1,027.69-1,541.53-343.69

Finding the Fourth Proportional to 1,027.69, 1,541.53 and 343.69

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Solution

The fourth proportional to 1,027.69, 1,541.53 and 343.69 is: 515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.69 : 1,541.53 = 343.69 : x
  2. Step 2: Convert to fraction form
    1,027.69/1,541.53 = 343.69/x
  3. Step 3: Cross multiply
    1,027.69x = 1,541.53 × 343.69
  4. Step 4: Simplify right side
    1,027.69x = 529,805.02
  5. Step 5: Solve for x
    x = 529,805.02/1,027.69
  6. Step 6: Final answer
    x = 515.53

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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.