Home / 1,524.26-2,285.88-587.14

Finding the Fourth Proportional to 1,524.26, 2,285.88 and 587.14

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Solution

The fourth proportional to 1,524.26, 2,285.88 and 587.14 is: 880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.26 : 2,285.88 = 587.14 : x
  2. Step 2: Convert to fraction form
    1,524.26/2,285.88 = 587.14/x
  3. Step 3: Cross multiply
    1,524.26x = 2,285.88 × 587.14
  4. Step 4: Simplify right side
    1,524.26x = 1,342,131.58
  5. Step 5: Solve for x
    x = 1,342,131.58/1,524.26
  6. Step 6: Final answer
    x = 880.51

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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.