Home / 1,608.30-2,412.70-512.56

Finding the Fourth Proportional to 1,608.30, 2,412.70 and 512.56

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Solution

The fourth proportional to 1,608.30, 2,412.70 and 512.56 is: 768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.30 : 2,412.70 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,608.30/2,412.70 = 512.56/x
  3. Step 3: Cross multiply
    1,608.30x = 2,412.70 × 512.56
  4. Step 4: Simplify right side
    1,608.30x = 1,236,653.51
  5. Step 5: Solve for x
    x = 1,236,653.51/1,608.30
  6. Step 6: Final answer
    x = 768.92

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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.