Home / 1,222.10-1,833.13-297.66

Finding the Fourth Proportional to 1,222.10, 1,833.13 and 297.66

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Solution

The fourth proportional to 1,222.10, 1,833.13 and 297.66 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.10 : 1,833.13 = 297.66 : x
  2. Step 2: Convert to fraction form
    1,222.10/1,833.13 = 297.66/x
  3. Step 3: Cross multiply
    1,222.10x = 1,833.13 × 297.66
  4. Step 4: Simplify right side
    1,222.10x = 545,645.64
  5. Step 5: Solve for x
    x = 545,645.64/1,222.10
  6. Step 6: Final answer
    x = 446.48

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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.