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Finding the Fourth Proportional to 1,222.25, 1,833.71 and 400.64

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Solution

The fourth proportional to 1,222.25, 1,833.71 and 400.64 is: 601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.25 : 1,833.71 = 400.64 : x
  2. Step 2: Convert to fraction form
    1,222.25/1,833.71 = 400.64/x
  3. Step 3: Cross multiply
    1,222.25x = 1,833.71 × 400.64
  4. Step 4: Simplify right side
    1,222.25x = 734,646.40
  5. Step 5: Solve for x
    x = 734,646.40/1,222.25
  6. Step 6: Final answer
    x = 601.06

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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.