Home / 1,619.65-2,428.96-523.78

Finding the Fourth Proportional to 1,619.65, 2,428.96 and 523.78

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Solution

The fourth proportional to 1,619.65, 2,428.96 and 523.78 is: 785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.65 : 2,428.96 = 523.78 : x
  2. Step 2: Convert to fraction form
    1,619.65/2,428.96 = 523.78/x
  3. Step 3: Cross multiply
    1,619.65x = 2,428.96 × 523.78
  4. Step 4: Simplify right side
    1,619.65x = 1,272,240.67
  5. Step 5: Solve for x
    x = 1,272,240.67/1,619.65
  6. Step 6: Final answer
    x = 785.50

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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.