Home / 1,584.09-2,376.42-488.22

Finding the Fourth Proportional to 1,584.09, 2,376.42 and 488.22

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Solution

The fourth proportional to 1,584.09, 2,376.42 and 488.22 is: 732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.09 : 2,376.42 = 488.22 : x
  2. Step 2: Convert to fraction form
    1,584.09/2,376.42 = 488.22/x
  3. Step 3: Cross multiply
    1,584.09x = 2,376.42 × 488.22
  4. Step 4: Simplify right side
    1,584.09x = 1,160,215.77
  5. Step 5: Solve for x
    x = 1,160,215.77/1,584.09
  6. Step 6: Final answer
    x = 732.42

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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.