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Finding the Fourth Proportional to 1,222.74, 1,833.96 and 357.03

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Solution

The fourth proportional to 1,222.74, 1,833.96 and 357.03 is: 535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.74 : 1,833.96 = 357.03 : x
  2. Step 2: Convert to fraction form
    1,222.74/1,833.96 = 357.03/x
  3. Step 3: Cross multiply
    1,222.74x = 1,833.96 × 357.03
  4. Step 4: Simplify right side
    1,222.74x = 654,778.74
  5. Step 5: Solve for x
    x = 654,778.74/1,222.74
  6. Step 6: Final answer
    x = 535.50

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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.