Home / 1,584.46-2,376.29-488.23

Finding the Fourth Proportional to 1,584.46, 2,376.29 and 488.23

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Solution

The fourth proportional to 1,584.46, 2,376.29 and 488.23 is: 732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.46 : 2,376.29 = 488.23 : x
  2. Step 2: Convert to fraction form
    1,584.46/2,376.29 = 488.23/x
  3. Step 3: Cross multiply
    1,584.46x = 2,376.29 × 488.23
  4. Step 4: Simplify right side
    1,584.46x = 1,160,168.60
  5. Step 5: Solve for x
    x = 1,160,168.60/1,584.46
  6. Step 6: Final answer
    x = 732.22

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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.