Home / 1,454.70-2,182.23-467.58

Finding the Fourth Proportional to 1,454.70, 2,182.23 and 467.58

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Solution

The fourth proportional to 1,454.70, 2,182.23 and 467.58 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.70 : 2,182.23 = 467.58 : x
  2. Step 2: Convert to fraction form
    1,454.70/2,182.23 = 467.58/x
  3. Step 3: Cross multiply
    1,454.70x = 2,182.23 × 467.58
  4. Step 4: Simplify right side
    1,454.70x = 1,020,367.10
  5. Step 5: Solve for x
    x = 1,020,367.10/1,454.70
  6. Step 6: Final answer
    x = 701.43

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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.