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Finding the Fourth Proportional to 1,223.96, 1,836.08 and 402.24

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Solution

The fourth proportional to 1,223.96, 1,836.08 and 402.24 is: 603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.96 : 1,836.08 = 402.24 : x
  2. Step 2: Convert to fraction form
    1,223.96/1,836.08 = 402.24/x
  3. Step 3: Cross multiply
    1,223.96x = 1,836.08 × 402.24
  4. Step 4: Simplify right side
    1,223.96x = 738,544.82
  5. Step 5: Solve for x
    x = 738,544.82/1,223.96
  6. Step 6: Final answer
    x = 603.41

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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.