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Finding the Fourth Proportional to 1,201.69, 1,802.41 and 421.62

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Solution

The fourth proportional to 1,201.69, 1,802.41 and 421.62 is: 632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.69 : 1,802.41 = 421.62 : x
  2. Step 2: Convert to fraction form
    1,201.69/1,802.41 = 421.62/x
  3. Step 3: Cross multiply
    1,201.69x = 1,802.41 × 421.62
  4. Step 4: Simplify right side
    1,201.69x = 759,932.10
  5. Step 5: Solve for x
    x = 759,932.10/1,201.69
  6. Step 6: Final answer
    x = 632.39

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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.