Home / 1,523.67-2,285.51-428.04

Finding the Fourth Proportional to 1,523.67, 2,285.51 and 428.04

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Solution

The fourth proportional to 1,523.67, 2,285.51 and 428.04 is: 642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.67 : 2,285.51 = 428.04 : x
  2. Step 2: Convert to fraction form
    1,523.67/2,285.51 = 428.04/x
  3. Step 3: Cross multiply
    1,523.67x = 2,285.51 × 428.04
  4. Step 4: Simplify right side
    1,523.67x = 978,287.56
  5. Step 5: Solve for x
    x = 978,287.56/1,523.67
  6. Step 6: Final answer
    x = 642.06

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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.