Home / 1,215.36-1,823.37-475.02

Finding the Fourth Proportional to 1,215.36, 1,823.37 and 475.02

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Solution

The fourth proportional to 1,215.36, 1,823.37 and 475.02 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.36 : 1,823.37 = 475.02 : x
  2. Step 2: Convert to fraction form
    1,215.36/1,823.37 = 475.02/x
  3. Step 3: Cross multiply
    1,215.36x = 1,823.37 × 475.02
  4. Step 4: Simplify right side
    1,215.36x = 866,137.22
  5. Step 5: Solve for x
    x = 866,137.22/1,215.36
  6. Step 6: Final answer
    x = 712.66

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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.