Home / 1,219.52-1,829.27-488.57

Finding the Fourth Proportional to 1,219.52, 1,829.27 and 488.57

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Solution

The fourth proportional to 1,219.52, 1,829.27 and 488.57 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.52 : 1,829.27 = 488.57 : x
  2. Step 2: Convert to fraction form
    1,219.52/1,829.27 = 488.57/x
  3. Step 3: Cross multiply
    1,219.52x = 1,829.27 × 488.57
  4. Step 4: Simplify right side
    1,219.52x = 893,726.44
  5. Step 5: Solve for x
    x = 893,726.44/1,219.52
  6. Step 6: Final answer
    x = 732.85

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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.