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Finding the Fourth Proportional to 1,223.34, 1,833.10 and 946.38

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Solution

The fourth proportional to 1,223.34, 1,833.10 and 946.38 is: 1,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,833.10 = 946.38 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,833.10 = 946.38/x
  3. Step 3: Cross multiply
    1,223.34x = 1,833.10 × 946.38
  4. Step 4: Simplify right side
    1,223.34x = 1,734,809.18
  5. Step 5: Solve for x
    x = 1,734,809.18/1,223.34
  6. Step 6: Final answer
    x = 1,418.09

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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.