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Finding the Fourth Proportional to 1,223.24, 1,833.64 and 492.28

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Solution

The fourth proportional to 1,223.24, 1,833.64 and 492.28 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.24 : 1,833.64 = 492.28 : x
  2. Step 2: Convert to fraction form
    1,223.24/1,833.64 = 492.28/x
  3. Step 3: Cross multiply
    1,223.24x = 1,833.64 × 492.28
  4. Step 4: Simplify right side
    1,223.24x = 902,658.48
  5. Step 5: Solve for x
    x = 902,658.48/1,223.24
  6. Step 6: Final answer
    x = 737.93

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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.