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Finding the Fourth Proportional to 1,222.78, 1,833.79 and 400.87

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Solution

The fourth proportional to 1,222.78, 1,833.79 and 400.87 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.78 : 1,833.79 = 400.87 : x
  2. Step 2: Convert to fraction form
    1,222.78/1,833.79 = 400.87/x
  3. Step 3: Cross multiply
    1,222.78x = 1,833.79 × 400.87
  4. Step 4: Simplify right side
    1,222.78x = 735,111.40
  5. Step 5: Solve for x
    x = 735,111.40/1,222.78
  6. Step 6: Final answer
    x = 601.18

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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.