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Finding the Fourth Proportional to 1,223.66, 1,835.12 and 443.57

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Solution

The fourth proportional to 1,223.66, 1,835.12 and 443.57 is: 665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.66 : 1,835.12 = 443.57 : x
  2. Step 2: Convert to fraction form
    1,223.66/1,835.12 = 443.57/x
  3. Step 3: Cross multiply
    1,223.66x = 1,835.12 × 443.57
  4. Step 4: Simplify right side
    1,223.66x = 814,004.18
  5. Step 5: Solve for x
    x = 814,004.18/1,223.66
  6. Step 6: Final answer
    x = 665.22

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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.