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Finding the Fourth Proportional to 1,223.72, 1,835.72 and 444.09

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Solution

The fourth proportional to 1,223.72, 1,835.72 and 444.09 is: 666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.72 : 1,835.72 = 444.09 : x
  2. Step 2: Convert to fraction form
    1,223.72/1,835.72 = 444.09/x
  3. Step 3: Cross multiply
    1,223.72x = 1,835.72 × 444.09
  4. Step 4: Simplify right side
    1,223.72x = 815,213.50
  5. Step 5: Solve for x
    x = 815,213.50/1,223.72
  6. Step 6: Final answer
    x = 666.18

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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.