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Finding the Fourth Proportional to 1,222.01, 1,833.02 and 400.34

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Solution

The fourth proportional to 1,222.01, 1,833.02 and 400.34 is: 600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.01 : 1,833.02 = 400.34 : x
  2. Step 2: Convert to fraction form
    1,222.01/1,833.02 = 400.34/x
  3. Step 3: Cross multiply
    1,222.01x = 1,833.02 × 400.34
  4. Step 4: Simplify right side
    1,222.01x = 733,822.06
  5. Step 5: Solve for x
    x = 733,822.06/1,222.01
  6. Step 6: Final answer
    x = 600.51

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1.5x scale

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.