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Finding the Fourth Proportional to 1,213.75, 1,820.63 and 444.25

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Solution

The fourth proportional to 1,213.75, 1,820.63 and 444.25 is: 666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.75 : 1,820.63 = 444.25 : x
  2. Step 2: Convert to fraction form
    1,213.75/1,820.63 = 444.25/x
  3. Step 3: Cross multiply
    1,213.75x = 1,820.63 × 444.25
  4. Step 4: Simplify right side
    1,213.75x = 808,814.88
  5. Step 5: Solve for x
    x = 808,814.88/1,213.75
  6. Step 6: Final answer
    x = 666.38

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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.