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Finding the Fourth Proportional to 1,201.68, 1,802.60 and 421.59

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Solution

The fourth proportional to 1,201.68, 1,802.60 and 421.59 is: 632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.68 : 1,802.60 = 421.59 : x
  2. Step 2: Convert to fraction form
    1,201.68/1,802.60 = 421.59/x
  3. Step 3: Cross multiply
    1,201.68x = 1,802.60 × 421.59
  4. Step 4: Simplify right side
    1,201.68x = 759,958.13
  5. Step 5: Solve for x
    x = 759,958.13/1,201.68
  6. Step 6: Final answer
    x = 632.42

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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.