Home / 1,584.47-2,377.31-488.95

Finding the Fourth Proportional to 1,584.47, 2,377.31 and 488.95

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Solution

The fourth proportional to 1,584.47, 2,377.31 and 488.95 is: 733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.47 : 2,377.31 = 488.95 : x
  2. Step 2: Convert to fraction form
    1,584.47/2,377.31 = 488.95/x
  3. Step 3: Cross multiply
    1,584.47x = 2,377.31 × 488.95
  4. Step 4: Simplify right side
    1,584.47x = 1,162,385.72
  5. Step 5: Solve for x
    x = 1,162,385.72/1,584.47
  6. Step 6: Final answer
    x = 733.61

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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.