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Finding the Fourth Proportional to 1,222.23, 1,833.14 and 356.34

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Solution

The fourth proportional to 1,222.23, 1,833.14 and 356.34 is: 534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.23 : 1,833.14 = 356.34 : x
  2. Step 2: Convert to fraction form
    1,222.23/1,833.14 = 356.34/x
  3. Step 3: Cross multiply
    1,222.23x = 1,833.14 × 356.34
  4. Step 4: Simplify right side
    1,222.23x = 653,228.87
  5. Step 5: Solve for x
    x = 653,228.87/1,222.23
  6. Step 6: Final answer
    x = 534.45

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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.