Home / 1,215.50-1,823.26-435.54

Finding the Fourth Proportional to 1,215.50, 1,823.26 and 435.54

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Solution

The fourth proportional to 1,215.50, 1,823.26 and 435.54 is: 653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.50 : 1,823.26 = 435.54 : x
  2. Step 2: Convert to fraction form
    1,215.50/1,823.26 = 435.54/x
  3. Step 3: Cross multiply
    1,215.50x = 1,823.26 × 435.54
  4. Step 4: Simplify right side
    1,215.50x = 794,102.66
  5. Step 5: Solve for x
    x = 794,102.66/1,215.50
  6. Step 6: Final answer
    x = 653.31

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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.