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Finding the Fourth Proportional to 812.03, 1,217.39 and 421.83

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Solution

The fourth proportional to 812.03, 1,217.39 and 421.83 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.03 : 1,217.39 = 421.83 : x
  2. Step 2: Convert to fraction form
    812.03/1,217.39 = 421.83/x
  3. Step 3: Cross multiply
    812.03x = 1,217.39 × 421.83
  4. Step 4: Simplify right side
    812.03x = 513,529.51
  5. Step 5: Solve for x
    x = 513,529.51/812.03
  6. Step 6: Final answer
    x = 632.41

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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.