Home / 1,584.71-2,377.30-489.17

Finding the Fourth Proportional to 1,584.71, 2,377.30 and 489.17

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Solution

The fourth proportional to 1,584.71, 2,377.30 and 489.17 is: 733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.71 : 2,377.30 = 489.17 : x
  2. Step 2: Convert to fraction form
    1,584.71/2,377.30 = 489.17/x
  3. Step 3: Cross multiply
    1,584.71x = 2,377.30 × 489.17
  4. Step 4: Simplify right side
    1,584.71x = 1,162,909.48
  5. Step 5: Solve for x
    x = 1,162,909.48/1,584.71
  6. Step 6: Final answer
    x = 733.83

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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.